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Finding the Fourth Proportional to 1,710.76, 2,361.19 and 1,337.00

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Solution

The fourth proportional to 1,710.76, 2,361.19 and 1,337.00 is: 1,845.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710.76 : 2,361.19 = 1,337.00 : x
  2. Step 2: Convert to fraction form
    1,710.76/2,361.19 = 1,337.00/x
  3. Step 3: Cross multiply
    1,710.76x = 2,361.19 × 1,337.00
  4. Step 4: Simplify right side
    1,710.76x = 3,156,899.22
  5. Step 5: Solve for x
    x = 3,156,899.22/1,710.76
  6. Step 6: Final answer
    x = 1,845.33

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.