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Finding the Fourth Proportional to 2,149.60, 2,966.44 and 1,205.38

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Solution

The fourth proportional to 2,149.60, 2,966.44 and 1,205.38 is: 1,663.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.60 : 2,966.44 = 1,205.38 : x
  2. Step 2: Convert to fraction form
    2,149.60/2,966.44 = 1,205.38/x
  3. Step 3: Cross multiply
    2,149.60x = 2,966.44 × 1,205.38
  4. Step 4: Simplify right side
    2,149.60x = 3,575,687.45
  5. Step 5: Solve for x
    x = 3,575,687.45/2,149.60
  6. Step 6: Final answer
    x = 1,663.42

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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.