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Finding the Fourth Proportional to 2,330.61, 3,496.13 and 749.55

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Solution

The fourth proportional to 2,330.61, 3,496.13 and 749.55 is: 1,124.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,330.61 : 3,496.13 = 749.55 : x
  2. Step 2: Convert to fraction form
    2,330.61/3,496.13 = 749.55/x
  3. Step 3: Cross multiply
    2,330.61x = 3,496.13 × 749.55
  4. Step 4: Simplify right side
    2,330.61x = 2,620,520.49
  5. Step 5: Solve for x
    x = 2,620,520.49/2,330.61
  6. Step 6: Final answer
    x = 1,124.39

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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.