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Finding the Fourth Proportional to 2,762.76, 4,144.01 and 1,031.25

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Solution

The fourth proportional to 2,762.76, 4,144.01 and 1,031.25 is: 1,546.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.76 : 4,144.01 = 1,031.25 : x
  2. Step 2: Convert to fraction form
    2,762.76/4,144.01 = 1,031.25/x
  3. Step 3: Cross multiply
    2,762.76x = 4,144.01 × 1,031.25
  4. Step 4: Simplify right side
    2,762.76x = 4,273,505.16
  5. Step 5: Solve for x
    x = 4,273,505.16/2,762.76
  6. Step 6: Final answer
    x = 1,546.82

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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.