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Finding the Fourth Proportional to 2,380.76, 3,572.34 and 1,341.92

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Solution

The fourth proportional to 2,380.76, 3,572.34 and 1,341.92 is: 2,013.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,380.76 : 3,572.34 = 1,341.92 : x
  2. Step 2: Convert to fraction form
    2,380.76/3,572.34 = 1,341.92/x
  3. Step 3: Cross multiply
    2,380.76x = 3,572.34 × 1,341.92
  4. Step 4: Simplify right side
    2,380.76x = 4,793,794.49
  5. Step 5: Solve for x
    x = 4,793,794.49/2,380.76
  6. Step 6: Final answer
    x = 2,013.56

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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.