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Finding the Fourth Proportional to 1,485.27, 2,052.23 and 1,432.71

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Solution

The fourth proportional to 1,485.27, 2,052.23 and 1,432.71 is: 1,979.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,485.27 : 2,052.23 = 1,432.71 : x
  2. Step 2: Convert to fraction form
    1,485.27/2,052.23 = 1,432.71/x
  3. Step 3: Cross multiply
    1,485.27x = 2,052.23 × 1,432.71
  4. Step 4: Simplify right side
    1,485.27x = 2,940,243.28
  5. Step 5: Solve for x
    x = 2,940,243.28/1,485.27
  6. Step 6: Final answer
    x = 1,979.60

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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.