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Finding the Fourth Proportional to 1,753.74, 2,632.36 and 1,260.72

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Solution

The fourth proportional to 1,753.74, 2,632.36 and 1,260.72 is: 1,892.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,753.74 : 2,632.36 = 1,260.72 : x
  2. Step 2: Convert to fraction form
    1,753.74/2,632.36 = 1,260.72/x
  3. Step 3: Cross multiply
    1,753.74x = 2,632.36 × 1,260.72
  4. Step 4: Simplify right side
    1,753.74x = 3,318,668.90
  5. Step 5: Solve for x
    x = 3,318,668.90/1,753.74
  6. Step 6: Final answer
    x = 1,892.34

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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.