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Finding the Fourth Proportional to 3,102.72, 4,656.48 and 1,372.56

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Solution

The fourth proportional to 3,102.72, 4,656.48 and 1,372.56 is: 2,059.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.72 : 4,656.48 = 1,372.56 : x
  2. Step 2: Convert to fraction form
    3,102.72/4,656.48 = 1,372.56/x
  3. Step 3: Cross multiply
    3,102.72x = 4,656.48 × 1,372.56
  4. Step 4: Simplify right side
    3,102.72x = 6,391,298.19
  5. Step 5: Solve for x
    x = 6,391,298.19/3,102.72
  6. Step 6: Final answer
    x = 2,059.90

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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.