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Finding the Fourth Proportional to 1,615.29, 2,420.78 and 737.88

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Solution

The fourth proportional to 1,615.29, 2,420.78 and 737.88 is: 1,105.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,615.29 : 2,420.78 = 737.88 : x
  2. Step 2: Convert to fraction form
    1,615.29/2,420.78 = 737.88/x
  3. Step 3: Cross multiply
    1,615.29x = 2,420.78 × 737.88
  4. Step 4: Simplify right side
    1,615.29x = 1,786,241.46
  5. Step 5: Solve for x
    x = 1,786,241.46/1,615.29
  6. Step 6: Final answer
    x = 1,105.83

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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.