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Finding the Fourth Proportional to 2,456.97, 3,390.65 and 1,337.94

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Solution

The fourth proportional to 2,456.97, 3,390.65 and 1,337.94 is: 1,846.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,456.97 : 3,390.65 = 1,337.94 : x
  2. Step 2: Convert to fraction form
    2,456.97/3,390.65 = 1,337.94/x
  3. Step 3: Cross multiply
    2,456.97x = 3,390.65 × 1,337.94
  4. Step 4: Simplify right side
    2,456.97x = 4,536,486.26
  5. Step 5: Solve for x
    x = 4,536,486.26/2,456.97
  6. Step 6: Final answer
    x = 1,846.38

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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.