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Finding the Fourth Proportional to 1,711.71, 2,362.40 and 1,270.86

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Solution

The fourth proportional to 1,711.71, 2,362.40 and 1,270.86 is: 1,753.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,711.71 : 2,362.40 = 1,270.86 : x
  2. Step 2: Convert to fraction form
    1,711.71/2,362.40 = 1,270.86/x
  3. Step 3: Cross multiply
    1,711.71x = 2,362.40 × 1,270.86
  4. Step 4: Simplify right side
    1,711.71x = 3,002,273.31
  5. Step 5: Solve for x
    x = 3,002,273.31/1,711.71
  6. Step 6: Final answer
    x = 1,753.96

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