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Finding the Fourth Proportional to 2,046.97, 3,070.89 and 660.38

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Solution

The fourth proportional to 2,046.97, 3,070.89 and 660.38 is: 990.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.97 : 3,070.89 = 660.38 : x
  2. Step 2: Convert to fraction form
    2,046.97/3,070.89 = 660.38/x
  3. Step 3: Cross multiply
    2,046.97x = 3,070.89 × 660.38
  4. Step 4: Simplify right side
    2,046.97x = 2,027,962.02
  5. Step 5: Solve for x
    x = 2,027,962.02/2,046.97
  6. Step 6: Final answer
    x = 990.72

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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.