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Finding the Fourth Proportional to 4,154.16, 6,229.92 and 1,232.64

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Solution

The fourth proportional to 4,154.16, 6,229.92 and 1,232.64 is: 1,848.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,154.16 : 6,229.92 = 1,232.64 : x
  2. Step 2: Convert to fraction form
    4,154.16/6,229.92 = 1,232.64/x
  3. Step 3: Cross multiply
    4,154.16x = 6,229.92 × 1,232.64
  4. Step 4: Simplify right side
    4,154.16x = 7,679,248.59
  5. Step 5: Solve for x
    x = 7,679,248.59/4,154.16
  6. Step 6: Final answer
    x = 1,848.57

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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.