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Finding the Fourth Proportional to 2,974.32, 4,456.62 and 2,860.56

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Solution

The fourth proportional to 2,974.32, 4,456.62 and 2,860.56 is: 4,286.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.32 : 4,456.62 = 2,860.56 : x
  2. Step 2: Convert to fraction form
    2,974.32/4,456.62 = 2,860.56/x
  3. Step 3: Cross multiply
    2,974.32x = 4,456.62 × 2,860.56
  4. Step 4: Simplify right side
    2,974.32x = 12,748,428.91
  5. Step 5: Solve for x
    x = 12,748,428.91/2,974.32
  6. Step 6: Final answer
    x = 4,286.17

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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.