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Finding the Fourth Proportional to 2,278.88, 3,144.12 and 1,493.48

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Solution

The fourth proportional to 2,278.88, 3,144.12 and 1,493.48 is: 2,060.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278.88 : 3,144.12 = 1,493.48 : x
  2. Step 2: Convert to fraction form
    2,278.88/3,144.12 = 1,493.48/x
  3. Step 3: Cross multiply
    2,278.88x = 3,144.12 × 1,493.48
  4. Step 4: Simplify right side
    2,278.88x = 4,695,680.34
  5. Step 5: Solve for x
    x = 4,695,680.34/2,278.88
  6. Step 6: Final answer
    x = 2,060.52

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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.