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Finding the Fourth Proportional to 2,289.02, 3,432.24 and 728.74

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Solution

The fourth proportional to 2,289.02, 3,432.24 and 728.74 is: 1,092.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289.02 : 3,432.24 = 728.74 : x
  2. Step 2: Convert to fraction form
    2,289.02/3,432.24 = 728.74/x
  3. Step 3: Cross multiply
    2,289.02x = 3,432.24 × 728.74
  4. Step 4: Simplify right side
    2,289.02x = 2,501,214.87
  5. Step 5: Solve for x
    x = 2,501,214.87/2,289.02
  6. Step 6: Final answer
    x = 1,092.70

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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.