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Finding the Fourth Proportional to 2,329.61, 3,494.36 and 574.62

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Solution

The fourth proportional to 2,329.61, 3,494.36 and 574.62 is: 861.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,329.61 : 3,494.36 = 574.62 : x
  2. Step 2: Convert to fraction form
    2,329.61/3,494.36 = 574.62/x
  3. Step 3: Cross multiply
    2,329.61x = 3,494.36 × 574.62
  4. Step 4: Simplify right side
    2,329.61x = 2,007,926.27
  5. Step 5: Solve for x
    x = 2,007,926.27/2,329.61
  6. Step 6: Final answer
    x = 861.92

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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.