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Finding the Fourth Proportional to 1,375.65, 2,061.63 and 1,229.22

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Solution

The fourth proportional to 1,375.65, 2,061.63 and 1,229.22 is: 1,842.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375.65 : 2,061.63 = 1,229.22 : x
  2. Step 2: Convert to fraction form
    1,375.65/2,061.63 = 1,229.22/x
  3. Step 3: Cross multiply
    1,375.65x = 2,061.63 × 1,229.22
  4. Step 4: Simplify right side
    1,375.65x = 2,534,196.83
  5. Step 5: Solve for x
    x = 2,534,196.83/1,375.65
  6. Step 6: Final answer
    x = 1,842.18

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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.