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Finding the Fourth Proportional to 2,382.66, 3,287.16 and 1,543.50

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Solution

The fourth proportional to 2,382.66, 3,287.16 and 1,543.50 is: 2,129.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,382.66 : 3,287.16 = 1,543.50 : x
  2. Step 2: Convert to fraction form
    2,382.66/3,287.16 = 1,543.50/x
  3. Step 3: Cross multiply
    2,382.66x = 3,287.16 × 1,543.50
  4. Step 4: Simplify right side
    2,382.66x = 5,073,731.46
  5. Step 5: Solve for x
    x = 5,073,731.46/2,382.66
  6. Step 6: Final answer
    x = 2,129.44

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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.