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Finding the Fourth Proportional to 2,294.62, 3,439.51 and 1,062.86

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Solution

The fourth proportional to 2,294.62, 3,439.51 and 1,062.86 is: 1,593.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.62 : 3,439.51 = 1,062.86 : x
  2. Step 2: Convert to fraction form
    2,294.62/3,439.51 = 1,062.86/x
  3. Step 3: Cross multiply
    2,294.62x = 3,439.51 × 1,062.86
  4. Step 4: Simplify right side
    2,294.62x = 3,655,697.74
  5. Step 5: Solve for x
    x = 3,655,697.74/2,294.62
  6. Step 6: Final answer
    x = 1,593.16

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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.