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Finding the Fourth Proportional to 2,044.50, 3,066.68 and 657.92

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Solution

The fourth proportional to 2,044.50, 3,066.68 and 657.92 is: 986.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044.50 : 3,066.68 = 657.92 : x
  2. Step 2: Convert to fraction form
    2,044.50/3,066.68 = 657.92/x
  3. Step 3: Cross multiply
    2,044.50x = 3,066.68 × 657.92
  4. Step 4: Simplify right side
    2,044.50x = 2,017,616.42
  5. Step 5: Solve for x
    x = 2,017,616.42/2,044.50
  6. Step 6: Final answer
    x = 986.85

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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.