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Finding the Fourth Proportional to 2,294.71, 3,167.22 and 1,456.57

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Solution

The fourth proportional to 2,294.71, 3,167.22 and 1,456.57 is: 2,010.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.71 : 3,167.22 = 1,456.57 : x
  2. Step 2: Convert to fraction form
    2,294.71/3,167.22 = 1,456.57/x
  3. Step 3: Cross multiply
    2,294.71x = 3,167.22 × 1,456.57
  4. Step 4: Simplify right side
    2,294.71x = 4,613,277.64
  5. Step 5: Solve for x
    x = 4,613,277.64/2,294.71
  6. Step 6: Final answer
    x = 2,010.40

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Why These Related Problems?

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