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Finding the Fourth Proportional to 1,498.62, 2,068 and 1,144.78

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Solution

The fourth proportional to 1,498.62, 2,068 and 1,144.78 is: 1,579.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,498.62 : 2,068 = 1,144.78 : x
  2. Step 2: Convert to fraction form
    1,498.62/2,068 = 1,144.78/x
  3. Step 3: Cross multiply
    1,498.62x = 2,068 × 1,144.78
  4. Step 4: Simplify right side
    1,498.62x = 2,367,405.04
  5. Step 5: Solve for x
    x = 2,367,405.04/1,498.62
  6. Step 6: Final answer
    x = 1,579.72

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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.