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Finding the Fourth Proportional to 2,434.64, 3,352.72 and 2,115.46

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Solution

The fourth proportional to 2,434.64, 3,352.72 and 2,115.46 is: 2,913.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,434.64 : 3,352.72 = 2,115.46 : x
  2. Step 2: Convert to fraction form
    2,434.64/3,352.72 = 2,115.46/x
  3. Step 3: Cross multiply
    2,434.64x = 3,352.72 × 2,115.46
  4. Step 4: Simplify right side
    2,434.64x = 7,092,545.05
  5. Step 5: Solve for x
    x = 7,092,545.05/2,434.64
  6. Step 6: Final answer
    x = 2,913.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.