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Finding the Fourth Proportional to 2,452.80, 3,377.46 and 2,113.82

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Solution

The fourth proportional to 2,452.80, 3,377.46 and 2,113.82 is: 2,910.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452.80 : 3,377.46 = 2,113.82 : x
  2. Step 2: Convert to fraction form
    2,452.80/3,377.46 = 2,113.82/x
  3. Step 3: Cross multiply
    2,452.80x = 3,377.46 × 2,113.82
  4. Step 4: Simplify right side
    2,452.80x = 7,139,342.50
  5. Step 5: Solve for x
    x = 7,139,342.50/2,452.80
  6. Step 6: Final answer
    x = 2,910.69

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