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Finding the Fourth Proportional to 1,927.80, 2,885.49 and 1,343.52

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Solution

The fourth proportional to 1,927.80, 2,885.49 and 1,343.52 is: 2,010.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,927.80 : 2,885.49 = 1,343.52 : x
  2. Step 2: Convert to fraction form
    1,927.80/2,885.49 = 1,343.52/x
  3. Step 3: Cross multiply
    1,927.80x = 2,885.49 × 1,343.52
  4. Step 4: Simplify right side
    1,927.80x = 3,876,713.52
  5. Step 5: Solve for x
    x = 3,876,713.52/1,927.80
  6. Step 6: Final answer
    x = 2,010.95

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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.