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Finding the Fourth Proportional to 2,492.30, 3,738.37 and 1,031.02

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Solution

The fourth proportional to 2,492.30, 3,738.37 and 1,031.02 is: 1,546.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,492.30 : 3,738.37 = 1,031.02 : x
  2. Step 2: Convert to fraction form
    2,492.30/3,738.37 = 1,031.02/x
  3. Step 3: Cross multiply
    2,492.30x = 3,738.37 × 1,031.02
  4. Step 4: Simplify right side
    2,492.30x = 3,854,334.24
  5. Step 5: Solve for x
    x = 3,854,334.24/2,492.30
  6. Step 6: Final answer
    x = 1,546.50

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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.