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Finding the Fourth Proportional to 2,329.92, 3,494.04 and 790.56

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Solution

The fourth proportional to 2,329.92, 3,494.04 and 790.56 is: 1,185.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,329.92 : 3,494.04 = 790.56 : x
  2. Step 2: Convert to fraction form
    2,329.92/3,494.04 = 790.56/x
  3. Step 3: Cross multiply
    2,329.92x = 3,494.04 × 790.56
  4. Step 4: Simplify right side
    2,329.92x = 2,762,248.26
  5. Step 5: Solve for x
    x = 2,762,248.26/2,329.92
  6. Step 6: Final answer
    x = 1,185.55

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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.