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Finding the Fourth Proportional to 2,512.62, 3,749.95 and 2,447.01

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Solution

The fourth proportional to 2,512.62, 3,749.95 and 2,447.01 is: 3,652.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,512.62 : 3,749.95 = 2,447.01 : x
  2. Step 2: Convert to fraction form
    2,512.62/3,749.95 = 2,447.01/x
  3. Step 3: Cross multiply
    2,512.62x = 3,749.95 × 2,447.01
  4. Step 4: Simplify right side
    2,512.62x = 9,176,154.44
  5. Step 5: Solve for x
    x = 9,176,154.44/2,512.62
  6. Step 6: Final answer
    x = 3,652.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.