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Finding the Fourth Proportional to 2,382.76, 3,287.82 and 1,497.94

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Solution

The fourth proportional to 2,382.76, 3,287.82 and 1,497.94 is: 2,066.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,382.76 : 3,287.82 = 1,497.94 : x
  2. Step 2: Convert to fraction form
    2,382.76/3,287.82 = 1,497.94/x
  3. Step 3: Cross multiply
    2,382.76x = 3,287.82 × 1,497.94
  4. Step 4: Simplify right side
    2,382.76x = 4,924,957.09
  5. Step 5: Solve for x
    x = 4,924,957.09/2,382.76
  6. Step 6: Final answer
    x = 2,066.91

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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.