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Finding the Fourth Proportional to 2,498.64, 3,748.01 and 1,266.63

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Solution

The fourth proportional to 2,498.64, 3,748.01 and 1,266.63 is: 1,899.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.64 : 3,748.01 = 1,266.63 : x
  2. Step 2: Convert to fraction form
    2,498.64/3,748.01 = 1,266.63/x
  3. Step 3: Cross multiply
    2,498.64x = 3,748.01 × 1,266.63
  4. Step 4: Simplify right side
    2,498.64x = 4,747,335.57
  5. Step 5: Solve for x
    x = 4,747,335.57/2,498.64
  6. Step 6: Final answer
    x = 1,899.97

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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.