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Finding the Fourth Proportional to 1,914.62, 2,642.17 and 1,118.49

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Solution

The fourth proportional to 1,914.62, 2,642.17 and 1,118.49 is: 1,543.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,914.62 : 2,642.17 = 1,118.49 : x
  2. Step 2: Convert to fraction form
    1,914.62/2,642.17 = 1,118.49/x
  3. Step 3: Cross multiply
    1,914.62x = 2,642.17 × 1,118.49
  4. Step 4: Simplify right side
    1,914.62x = 2,955,232.97
  5. Step 5: Solve for x
    x = 2,955,232.97/1,914.62
  6. Step 6: Final answer
    x = 1,543.51

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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.