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Finding the Fourth Proportional to 2,687.81, 3,702.56 and 2,288.19

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Solution

The fourth proportional to 2,687.81, 3,702.56 and 2,288.19 is: 3,152.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,687.81 : 3,702.56 = 2,288.19 : x
  2. Step 2: Convert to fraction form
    2,687.81/3,702.56 = 2,288.19/x
  3. Step 3: Cross multiply
    2,687.81x = 3,702.56 × 2,288.19
  4. Step 4: Simplify right side
    2,687.81x = 8,472,166.49
  5. Step 5: Solve for x
    x = 8,472,166.49/2,687.81
  6. Step 6: Final answer
    x = 3,152.07

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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.