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Finding the Fourth Proportional to 2,821.60, 4,248.52 and 2,648.80

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Solution

The fourth proportional to 2,821.60, 4,248.52 and 2,648.80 is: 3,988.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,821.60 : 4,248.52 = 2,648.80 : x
  2. Step 2: Convert to fraction form
    2,821.60/4,248.52 = 2,648.80/x
  3. Step 3: Cross multiply
    2,821.60x = 4,248.52 × 2,648.80
  4. Step 4: Simplify right side
    2,821.60x = 11,253,479.78
  5. Step 5: Solve for x
    x = 11,253,479.78/2,821.60
  6. Step 6: Final answer
    x = 3,988.33

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.