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Finding the Fourth Proportional to 2,031.65, 3,048.02 and 861.70

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Solution

The fourth proportional to 2,031.65, 3,048.02 and 861.70 is: 1,292.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031.65 : 3,048.02 = 861.70 : x
  2. Step 2: Convert to fraction form
    2,031.65/3,048.02 = 861.70/x
  3. Step 3: Cross multiply
    2,031.65x = 3,048.02 × 861.70
  4. Step 4: Simplify right side
    2,031.65x = 2,626,478.93
  5. Step 5: Solve for x
    x = 2,626,478.93/2,031.65
  6. Step 6: Final answer
    x = 1,292.78

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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.