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Finding the Fourth Proportional to 1,627.74, 2,442.51 and 1,079.82

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Solution

The fourth proportional to 1,627.74, 2,442.51 and 1,079.82 is: 1,620.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,627.74 : 2,442.51 = 1,079.82 : x
  2. Step 2: Convert to fraction form
    1,627.74/2,442.51 = 1,079.82/x
  3. Step 3: Cross multiply
    1,627.74x = 2,442.51 × 1,079.82
  4. Step 4: Simplify right side
    1,627.74x = 2,637,471.15
  5. Step 5: Solve for x
    x = 2,637,471.15/1,627.74
  6. Step 6: Final answer
    x = 1,620.33

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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.