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Finding the Fourth Proportional to 2,329.09, 3,493.56 and 574.11

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Solution

The fourth proportional to 2,329.09, 3,493.56 and 574.11 is: 861.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,329.09 : 3,493.56 = 574.11 : x
  2. Step 2: Convert to fraction form
    2,329.09/3,493.56 = 574.11/x
  3. Step 3: Cross multiply
    2,329.09x = 3,493.56 × 574.11
  4. Step 4: Simplify right side
    2,329.09x = 2,005,687.73
  5. Step 5: Solve for x
    x = 2,005,687.73/2,329.09
  6. Step 6: Final answer
    x = 861.15

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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.