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Finding the Fourth Proportional to 2,492, 3,735.48 and 1,031.96

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Solution

The fourth proportional to 2,492, 3,735.48 and 1,031.96 is: 1,546.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,492 : 3,735.48 = 1,031.96 : x
  2. Step 2: Convert to fraction form
    2,492/3,735.48 = 1,031.96/x
  3. Step 3: Cross multiply
    2,492x = 3,735.48 × 1,031.96
  4. Step 4: Simplify right side
    2,492x = 3,854,865.94
  5. Step 5: Solve for x
    x = 3,854,865.94/2,492
  6. Step 6: Final answer
    x = 1,546.90

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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.