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Finding the Fourth Proportional to 2,314.11, 3,472.54 and 854.29

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Solution

The fourth proportional to 2,314.11, 3,472.54 and 854.29 is: 1,281.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.11 : 3,472.54 = 854.29 : x
  2. Step 2: Convert to fraction form
    2,314.11/3,472.54 = 854.29/x
  3. Step 3: Cross multiply
    2,314.11x = 3,472.54 × 854.29
  4. Step 4: Simplify right side
    2,314.11x = 2,966,534.56
  5. Step 5: Solve for x
    x = 2,966,534.56/2,314.11
  6. Step 6: Final answer
    x = 1,281.93

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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.