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Finding the Fourth Proportional to 2,283.72, 3,151.17 and 1,288.98

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Solution

The fourth proportional to 2,283.72, 3,151.17 and 1,288.98 is: 1,778.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283.72 : 3,151.17 = 1,288.98 : x
  2. Step 2: Convert to fraction form
    2,283.72/3,151.17 = 1,288.98/x
  3. Step 3: Cross multiply
    2,283.72x = 3,151.17 × 1,288.98
  4. Step 4: Simplify right side
    2,283.72x = 4,061,795.11
  5. Step 5: Solve for x
    x = 4,061,795.11/2,283.72
  6. Step 6: Final answer
    x = 1,778.59

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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.