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Finding the Fourth Proportional to 2,002.41, 2,761.94 and 1,837.17

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Solution

The fourth proportional to 2,002.41, 2,761.94 and 1,837.17 is: 2,534.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.41 : 2,761.94 = 1,837.17 : x
  2. Step 2: Convert to fraction form
    2,002.41/2,761.94 = 1,837.17/x
  3. Step 3: Cross multiply
    2,002.41x = 2,761.94 × 1,837.17
  4. Step 4: Simplify right side
    2,002.41x = 5,074,144.12
  5. Step 5: Solve for x
    x = 5,074,144.12/2,002.41
  6. Step 6: Final answer
    x = 2,534.02

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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.