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Finding the Fourth Proportional to 2,062.47, 2,846.97 and 1,398

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Solution

The fourth proportional to 2,062.47, 2,846.97 and 1,398 is: 1,929.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,062.47 : 2,846.97 = 1,398 : x
  2. Step 2: Convert to fraction form
    2,062.47/2,846.97 = 1,398/x
  3. Step 3: Cross multiply
    2,062.47x = 2,846.97 × 1,398
  4. Step 4: Simplify right side
    2,062.47x = 3,980,064.06
  5. Step 5: Solve for x
    x = 3,980,064.06/2,062.47
  6. Step 6: Final answer
    x = 1,929.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.