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Finding the Fourth Proportional to 2,288.06, 3,432.05 and 728.15

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Solution

The fourth proportional to 2,288.06, 3,432.05 and 728.15 is: 1,092.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.06 : 3,432.05 = 728.15 : x
  2. Step 2: Convert to fraction form
    2,288.06/3,432.05 = 728.15/x
  3. Step 3: Cross multiply
    2,288.06x = 3,432.05 × 728.15
  4. Step 4: Simplify right side
    2,288.06x = 2,499,054.88
  5. Step 5: Solve for x
    x = 2,499,054.88/2,288.06
  6. Step 6: Final answer
    x = 1,092.22

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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.