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Finding the Fourth Proportional to 2,666.08, 3,679.38 and 1,487.44

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Solution

The fourth proportional to 2,666.08, 3,679.38 and 1,487.44 is: 2,052.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.08 : 3,679.38 = 1,487.44 : x
  2. Step 2: Convert to fraction form
    2,666.08/3,679.38 = 1,487.44/x
  3. Step 3: Cross multiply
    2,666.08x = 3,679.38 × 1,487.44
  4. Step 4: Simplify right side
    2,666.08x = 5,472,856.99
  5. Step 5: Solve for x
    x = 5,472,856.99/2,666.08
  6. Step 6: Final answer
    x = 2,052.77

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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.