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Finding the Fourth Proportional to 3,029.52, 4,543.92 and 977.52

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Solution

The fourth proportional to 3,029.52, 4,543.92 and 977.52 is: 1,466.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,029.52 : 4,543.92 = 977.52 : x
  2. Step 2: Convert to fraction form
    3,029.52/4,543.92 = 977.52/x
  3. Step 3: Cross multiply
    3,029.52x = 4,543.92 × 977.52
  4. Step 4: Simplify right side
    3,029.52x = 4,441,772.68
  5. Step 5: Solve for x
    x = 4,441,772.68/3,029.52
  6. Step 6: Final answer
    x = 1,466.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.