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Finding the Fourth Proportional to 1,627.64, 2,442 and 1,081.97

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Solution

The fourth proportional to 1,627.64, 2,442 and 1,081.97 is: 1,623.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,627.64 : 2,442 = 1,081.97 : x
  2. Step 2: Convert to fraction form
    1,627.64/2,442 = 1,081.97/x
  3. Step 3: Cross multiply
    1,627.64x = 2,442 × 1,081.97
  4. Step 4: Simplify right side
    1,627.64x = 2,642,170.74
  5. Step 5: Solve for x
    x = 2,642,170.74/1,627.64
  6. Step 6: Final answer
    x = 1,623.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.