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Finding the Fourth Proportional to 1,585.52, 2,187.64 and 921.97

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Solution

The fourth proportional to 1,585.52, 2,187.64 and 921.97 is: 1,272.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.52 : 2,187.64 = 921.97 : x
  2. Step 2: Convert to fraction form
    1,585.52/2,187.64 = 921.97/x
  3. Step 3: Cross multiply
    1,585.52x = 2,187.64 × 921.97
  4. Step 4: Simplify right side
    1,585.52x = 2,016,930.68
  5. Step 5: Solve for x
    x = 2,016,930.68/1,585.52
  6. Step 6: Final answer
    x = 1,272.10

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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.