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Finding the Fourth Proportional to 3,037, 4,191.09 and 1,710.64

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Solution

The fourth proportional to 3,037, 4,191.09 and 1,710.64 is: 2,360.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,037 : 4,191.09 = 1,710.64 : x
  2. Step 2: Convert to fraction form
    3,037/4,191.09 = 1,710.64/x
  3. Step 3: Cross multiply
    3,037x = 4,191.09 × 1,710.64
  4. Step 4: Simplify right side
    3,037x = 7,169,446.20
  5. Step 5: Solve for x
    x = 7,169,446.20/3,037
  6. Step 6: Final answer
    x = 2,360.70

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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.