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Finding the Fourth Proportional to 2,820.80, 3,893.08 and 1,702.38

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Solution

The fourth proportional to 2,820.80, 3,893.08 and 1,702.38 is: 2,349.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,820.80 : 3,893.08 = 1,702.38 : x
  2. Step 2: Convert to fraction form
    2,820.80/3,893.08 = 1,702.38/x
  3. Step 3: Cross multiply
    2,820.80x = 3,893.08 × 1,702.38
  4. Step 4: Simplify right side
    2,820.80x = 6,627,493.17
  5. Step 5: Solve for x
    x = 6,627,493.17/2,820.80
  6. Step 6: Final answer
    x = 2,349.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.