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Finding the Fourth Proportional to 2,606.48, 3,909.77 and 962.18

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Solution

The fourth proportional to 2,606.48, 3,909.77 and 962.18 is: 1,443.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606.48 : 3,909.77 = 962.18 : x
  2. Step 2: Convert to fraction form
    2,606.48/3,909.77 = 962.18/x
  3. Step 3: Cross multiply
    2,606.48x = 3,909.77 × 962.18
  4. Step 4: Simplify right side
    2,606.48x = 3,761,902.50
  5. Step 5: Solve for x
    x = 3,761,902.50/2,606.48
  6. Step 6: Final answer
    x = 1,443.29

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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.