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Finding the Fourth Proportional to 1,710.74, 2,565.14 and 540.20

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Solution

The fourth proportional to 1,710.74, 2,565.14 and 540.20 is: 809.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710.74 : 2,565.14 = 540.20 : x
  2. Step 2: Convert to fraction form
    1,710.74/2,565.14 = 540.20/x
  3. Step 3: Cross multiply
    1,710.74x = 2,565.14 × 540.20
  4. Step 4: Simplify right side
    1,710.74x = 1,385,673.10
  5. Step 5: Solve for x
    x = 1,385,673.10/1,710.74
  6. Step 6: Final answer
    x = 809.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.