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Finding the Fourth Proportional to 2,447.89, 3,678.62 and 2,434.42

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Solution

The fourth proportional to 2,447.89, 3,678.62 and 2,434.42 is: 3,658.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,447.89 : 3,678.62 = 2,434.42 : x
  2. Step 2: Convert to fraction form
    2,447.89/3,678.62 = 2,434.42/x
  3. Step 3: Cross multiply
    2,447.89x = 3,678.62 × 2,434.42
  4. Step 4: Simplify right side
    2,447.89x = 8,955,298.53
  5. Step 5: Solve for x
    x = 8,955,298.53/2,447.89
  6. Step 6: Final answer
    x = 3,658.38

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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.