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Finding the Fourth Proportional to 2,380.78, 3,572.39 and 2,200.35

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Solution

The fourth proportional to 2,380.78, 3,572.39 and 2,200.35 is: 3,301.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,380.78 : 3,572.39 = 2,200.35 : x
  2. Step 2: Convert to fraction form
    2,380.78/3,572.39 = 2,200.35/x
  3. Step 3: Cross multiply
    2,380.78x = 3,572.39 × 2,200.35
  4. Step 4: Simplify right side
    2,380.78x = 7,860,508.34
  5. Step 5: Solve for x
    x = 7,860,508.34/2,380.78
  6. Step 6: Final answer
    x = 3,301.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.