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Finding the Fourth Proportional to 1,711.46, 2,566.28 and 540.95

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Solution

The fourth proportional to 1,711.46, 2,566.28 and 540.95 is: 811.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,711.46 : 2,566.28 = 540.95 : x
  2. Step 2: Convert to fraction form
    1,711.46/2,566.28 = 540.95/x
  3. Step 3: Cross multiply
    1,711.46x = 2,566.28 × 540.95
  4. Step 4: Simplify right side
    1,711.46x = 1,388,217.69
  5. Step 5: Solve for x
    x = 1,388,217.69/1,711.46
  6. Step 6: Final answer
    x = 811.13

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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.