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Finding the Fourth Proportional to 2,077.52, 2,863.02 and 1,487.03

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Solution

The fourth proportional to 2,077.52, 2,863.02 and 1,487.03 is: 2,049.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.52 : 2,863.02 = 1,487.03 : x
  2. Step 2: Convert to fraction form
    2,077.52/2,863.02 = 1,487.03/x
  3. Step 3: Cross multiply
    2,077.52x = 2,863.02 × 1,487.03
  4. Step 4: Simplify right side
    2,077.52x = 4,257,382.32
  5. Step 5: Solve for x
    x = 4,257,382.32/2,077.52
  6. Step 6: Final answer
    x = 2,049.27

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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.