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Finding the Fourth Proportional to 2,380.52, 3,285.15 and 1,371.67

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Solution

The fourth proportional to 2,380.52, 3,285.15 and 1,371.67 is: 1,892.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,380.52 : 3,285.15 = 1,371.67 : x
  2. Step 2: Convert to fraction form
    2,380.52/3,285.15 = 1,371.67/x
  3. Step 3: Cross multiply
    2,380.52x = 3,285.15 × 1,371.67
  4. Step 4: Simplify right side
    2,380.52x = 4,506,145.13
  5. Step 5: Solve for x
    x = 4,506,145.13/2,380.52
  6. Step 6: Final answer
    x = 1,892.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.