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Finding the Fourth Proportional to 2,444.97, 3,661.20 and 1,348.12

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Solution

The fourth proportional to 2,444.97, 3,661.20 and 1,348.12 is: 2,018.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,444.97 : 3,661.20 = 1,348.12 : x
  2. Step 2: Convert to fraction form
    2,444.97/3,661.20 = 1,348.12/x
  3. Step 3: Cross multiply
    2,444.97x = 3,661.20 × 1,348.12
  4. Step 4: Simplify right side
    2,444.97x = 4,935,741.52
  5. Step 5: Solve for x
    x = 4,935,741.52/2,444.97
  6. Step 6: Final answer
    x = 2,018.73

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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.