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Finding the Fourth Proportional to 2,920.42, 4,380.55 and 840.43

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Solution

The fourth proportional to 2,920.42, 4,380.55 and 840.43 is: 1,260.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,920.42 : 4,380.55 = 840.43 : x
  2. Step 2: Convert to fraction form
    2,920.42/4,380.55 = 840.43/x
  3. Step 3: Cross multiply
    2,920.42x = 4,380.55 × 840.43
  4. Step 4: Simplify right side
    2,920.42x = 3,681,545.64
  5. Step 5: Solve for x
    x = 3,681,545.64/2,920.42
  6. Step 6: Final answer
    x = 1,260.62

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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.