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Finding the Fourth Proportional to 2,934.28, 4,400.02 and 1,702.06

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Solution

The fourth proportional to 2,934.28, 4,400.02 and 1,702.06 is: 2,552.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,934.28 : 4,400.02 = 1,702.06 : x
  2. Step 2: Convert to fraction form
    2,934.28/4,400.02 = 1,702.06/x
  3. Step 3: Cross multiply
    2,934.28x = 4,400.02 × 1,702.06
  4. Step 4: Simplify right side
    2,934.28x = 7,489,113.92
  5. Step 5: Solve for x
    x = 7,489,113.92/2,934.28
  6. Step 6: Final answer
    x = 2,552.29

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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.