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Finding the Fourth Proportional to 1,710.77, 2,361.11 and 1,047.47

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Solution

The fourth proportional to 1,710.77, 2,361.11 and 1,047.47 is: 1,445.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710.77 : 2,361.11 = 1,047.47 : x
  2. Step 2: Convert to fraction form
    1,710.77/2,361.11 = 1,047.47/x
  3. Step 3: Cross multiply
    1,710.77x = 2,361.11 × 1,047.47
  4. Step 4: Simplify right side
    1,710.77x = 2,473,174.85
  5. Step 5: Solve for x
    x = 2,473,174.85/1,710.77
  6. Step 6: Final answer
    x = 1,445.65

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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.