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Finding the Fourth Proportional to 3,239.84, 4,469.66 and 1,876.20

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Solution

The fourth proportional to 3,239.84, 4,469.66 and 1,876.20 is: 2,588.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,239.84 : 4,469.66 = 1,876.20 : x
  2. Step 2: Convert to fraction form
    3,239.84/4,469.66 = 1,876.20/x
  3. Step 3: Cross multiply
    3,239.84x = 4,469.66 × 1,876.20
  4. Step 4: Simplify right side
    3,239.84x = 8,385,966.71
  5. Step 5: Solve for x
    x = 8,385,966.71/3,239.84
  6. Step 6: Final answer
    x = 2,588.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.