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Finding the Fourth Proportional to 1,748.39, 2,400.12 and 1,731.96

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Solution

The fourth proportional to 1,748.39, 2,400.12 and 1,731.96 is: 2,377.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748.39 : 2,400.12 = 1,731.96 : x
  2. Step 2: Convert to fraction form
    1,748.39/2,400.12 = 1,731.96/x
  3. Step 3: Cross multiply
    1,748.39x = 2,400.12 × 1,731.96
  4. Step 4: Simplify right side
    1,748.39x = 4,156,911.84
  5. Step 5: Solve for x
    x = 4,156,911.84/1,748.39
  6. Step 6: Final answer
    x = 2,377.57

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.