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Finding the Fourth Proportional to 2,380.92, 3,572.64 and 1,599

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Solution

The fourth proportional to 2,380.92, 3,572.64 and 1,599 is: 2,399.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,380.92 : 3,572.64 = 1,599 : x
  2. Step 2: Convert to fraction form
    2,380.92/3,572.64 = 1,599/x
  3. Step 3: Cross multiply
    2,380.92x = 3,572.64 × 1,599
  4. Step 4: Simplify right side
    2,380.92x = 5,712,651.36
  5. Step 5: Solve for x
    x = 5,712,651.36/2,380.92
  6. Step 6: Final answer
    x = 2,399.35

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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.