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Finding the Fourth Proportional to 2,761.39, 4,142.13 and 1,460.17

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Solution

The fourth proportional to 2,761.39, 4,142.13 and 1,460.17 is: 2,190.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.39 : 4,142.13 = 1,460.17 : x
  2. Step 2: Convert to fraction form
    2,761.39/4,142.13 = 1,460.17/x
  3. Step 3: Cross multiply
    2,761.39x = 4,142.13 × 1,460.17
  4. Step 4: Simplify right side
    2,761.39x = 6,048,213.96
  5. Step 5: Solve for x
    x = 6,048,213.96/2,761.39
  6. Step 6: Final answer
    x = 2,190.28

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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.