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Finding the Fourth Proportional to 2,961.74, 4,087.24 and 1,702.82

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Solution

The fourth proportional to 2,961.74, 4,087.24 and 1,702.82 is: 2,349.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,961.74 : 4,087.24 = 1,702.82 : x
  2. Step 2: Convert to fraction form
    2,961.74/4,087.24 = 1,702.82/x
  3. Step 3: Cross multiply
    2,961.74x = 4,087.24 × 1,702.82
  4. Step 4: Simplify right side
    2,961.74x = 6,959,834.02
  5. Step 5: Solve for x
    x = 6,959,834.02/2,961.74
  6. Step 6: Final answer
    x = 2,349.91

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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.