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Finding the Fourth Proportional to 2,044.54, 3,067.05 and 657.40

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Solution

The fourth proportional to 2,044.54, 3,067.05 and 657.40 is: 986.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044.54 : 3,067.05 = 657.40 : x
  2. Step 2: Convert to fraction form
    2,044.54/3,067.05 = 657.40/x
  3. Step 3: Cross multiply
    2,044.54x = 3,067.05 × 657.40
  4. Step 4: Simplify right side
    2,044.54x = 2,016,278.67
  5. Step 5: Solve for x
    x = 2,016,278.67/2,044.54
  6. Step 6: Final answer
    x = 986.18

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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.