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Finding the Fourth Proportional to 3,102.56, 4,649.28 and 2,318.89

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Solution

The fourth proportional to 3,102.56, 4,649.28 and 2,318.89 is: 3,474.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.56 : 4,649.28 = 2,318.89 : x
  2. Step 2: Convert to fraction form
    3,102.56/4,649.28 = 2,318.89/x
  3. Step 3: Cross multiply
    3,102.56x = 4,649.28 × 2,318.89
  4. Step 4: Simplify right side
    3,102.56x = 10,781,145.65
  5. Step 5: Solve for x
    x = 10,781,145.65/3,102.56
  6. Step 6: Final answer
    x = 3,474.92

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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.