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Finding the Fourth Proportional to 2,381.44, 3,572.12 and 1,444.61

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Solution

The fourth proportional to 2,381.44, 3,572.12 and 1,444.61 is: 2,166.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,381.44 : 3,572.12 = 1,444.61 : x
  2. Step 2: Convert to fraction form
    2,381.44/3,572.12 = 1,444.61/x
  3. Step 3: Cross multiply
    2,381.44x = 3,572.12 × 1,444.61
  4. Step 4: Simplify right side
    2,381.44x = 5,160,306.02
  5. Step 5: Solve for x
    x = 5,160,306.02/2,381.44
  6. Step 6: Final answer
    x = 2,166.89

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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.