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Finding the Fourth Proportional to 1,892.44, 2,610.66 and 1,630

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Solution

The fourth proportional to 1,892.44, 2,610.66 and 1,630 is: 2,248.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,892.44 : 2,610.66 = 1,630 : x
  2. Step 2: Convert to fraction form
    1,892.44/2,610.66 = 1,630/x
  3. Step 3: Cross multiply
    1,892.44x = 2,610.66 × 1,630
  4. Step 4: Simplify right side
    1,892.44x = 4,255,375.80
  5. Step 5: Solve for x
    x = 4,255,375.80/1,892.44
  6. Step 6: Final answer
    x = 2,248.62

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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.