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Finding the Fourth Proportional to 4,302.61, 6,454.98 and 1,380.92

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Solution

The fourth proportional to 4,302.61, 6,454.98 and 1,380.92 is: 2,071.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,302.61 : 6,454.98 = 1,380.92 : x
  2. Step 2: Convert to fraction form
    4,302.61/6,454.98 = 1,380.92/x
  3. Step 3: Cross multiply
    4,302.61x = 6,454.98 × 1,380.92
  4. Step 4: Simplify right side
    4,302.61x = 8,913,778.71
  5. Step 5: Solve for x
    x = 8,913,778.71/4,302.61
  6. Step 6: Final answer
    x = 2,071.72

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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.