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Finding the Fourth Proportional to 3,127.40, 4,317.54 and 2,081

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Solution

The fourth proportional to 3,127.40, 4,317.54 and 2,081 is: 2,872.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,127.40 : 4,317.54 = 2,081 : x
  2. Step 2: Convert to fraction form
    3,127.40/4,317.54 = 2,081/x
  3. Step 3: Cross multiply
    3,127.40x = 4,317.54 × 2,081
  4. Step 4: Simplify right side
    3,127.40x = 8,984,800.74
  5. Step 5: Solve for x
    x = 8,984,800.74/3,127.40
  6. Step 6: Final answer
    x = 2,872.93

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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.