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Finding the Fourth Proportional to 2,893.97, 4,340.94 and 702.70

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Solution

The fourth proportional to 2,893.97, 4,340.94 and 702.70 is: 1,054.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,893.97 : 4,340.94 = 702.70 : x
  2. Step 2: Convert to fraction form
    2,893.97/4,340.94 = 702.70/x
  3. Step 3: Cross multiply
    2,893.97x = 4,340.94 × 702.70
  4. Step 4: Simplify right side
    2,893.97x = 3,050,366.43
  5. Step 5: Solve for x
    x = 3,050,366.43/2,893.97
  6. Step 6: Final answer
    x = 1,054.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.