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Finding the Fourth Proportional to 1,749.03, 2,620.17 and 1,660.47

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Solution

The fourth proportional to 1,749.03, 2,620.17 and 1,660.47 is: 2,487.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,749.03 : 2,620.17 = 1,660.47 : x
  2. Step 2: Convert to fraction form
    1,749.03/2,620.17 = 1,660.47/x
  3. Step 3: Cross multiply
    1,749.03x = 2,620.17 × 1,660.47
  4. Step 4: Simplify right side
    1,749.03x = 4,350,713.68
  5. Step 5: Solve for x
    x = 4,350,713.68/1,749.03
  6. Step 6: Final answer
    x = 2,487.50

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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.