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Finding the Fourth Proportional to 2,754.94, 4,132.41 and 702.94

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Solution

The fourth proportional to 2,754.94, 4,132.41 and 702.94 is: 1,054.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,754.94 : 4,132.41 = 702.94 : x
  2. Step 2: Convert to fraction form
    2,754.94/4,132.41 = 702.94/x
  3. Step 3: Cross multiply
    2,754.94x = 4,132.41 × 702.94
  4. Step 4: Simplify right side
    2,754.94x = 2,904,823.32
  5. Step 5: Solve for x
    x = 2,904,823.32/2,754.94
  6. Step 6: Final answer
    x = 1,054.41

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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.