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Finding the Fourth Proportional to 2,374.14, 3,561.52 and 913.11

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Solution

The fourth proportional to 2,374.14, 3,561.52 and 913.11 is: 1,369.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,374.14 : 3,561.52 = 913.11 : x
  2. Step 2: Convert to fraction form
    2,374.14/3,561.52 = 913.11/x
  3. Step 3: Cross multiply
    2,374.14x = 3,561.52 × 913.11
  4. Step 4: Simplify right side
    2,374.14x = 3,252,059.53
  5. Step 5: Solve for x
    x = 3,252,059.53/2,374.14
  6. Step 6: Final answer
    x = 1,369.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.