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Finding the Fourth Proportional to 2,665.98, 3,679.02 and 1,487.25

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Solution

The fourth proportional to 2,665.98, 3,679.02 and 1,487.25 is: 2,052.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665.98 : 3,679.02 = 1,487.25 : x
  2. Step 2: Convert to fraction form
    2,665.98/3,679.02 = 1,487.25/x
  3. Step 3: Cross multiply
    2,665.98x = 3,679.02 × 1,487.25
  4. Step 4: Simplify right side
    2,665.98x = 5,471,622.50
  5. Step 5: Solve for x
    x = 5,471,622.50/2,665.98
  6. Step 6: Final answer
    x = 2,052.39

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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.