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Finding the Fourth Proportional to 2,498.32, 3,748.28 and 1,199.88

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Solution

The fourth proportional to 2,498.32, 3,748.28 and 1,199.88 is: 1,800.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.32 : 3,748.28 = 1,199.88 : x
  2. Step 2: Convert to fraction form
    2,498.32/3,748.28 = 1,199.88/x
  3. Step 3: Cross multiply
    2,498.32x = 3,748.28 × 1,199.88
  4. Step 4: Simplify right side
    2,498.32x = 4,497,486.21
  5. Step 5: Solve for x
    x = 4,497,486.21/2,498.32
  6. Step 6: Final answer
    x = 1,800.20

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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.