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Finding the Fourth Proportional to 2,031.54, 3,044.98 and 860.80

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Solution

The fourth proportional to 2,031.54, 3,044.98 and 860.80 is: 1,290.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031.54 : 3,044.98 = 860.80 : x
  2. Step 2: Convert to fraction form
    2,031.54/3,044.98 = 860.80/x
  3. Step 3: Cross multiply
    2,031.54x = 3,044.98 × 860.80
  4. Step 4: Simplify right side
    2,031.54x = 2,621,118.78
  5. Step 5: Solve for x
    x = 2,621,118.78/2,031.54
  6. Step 6: Final answer
    x = 1,290.21

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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.