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Finding the Fourth Proportional to 2,363.82, 3,262.13 and 1,315.90

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Solution

The fourth proportional to 2,363.82, 3,262.13 and 1,315.90 is: 1,815.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,363.82 : 3,262.13 = 1,315.90 : x
  2. Step 2: Convert to fraction form
    2,363.82/3,262.13 = 1,315.90/x
  3. Step 3: Cross multiply
    2,363.82x = 3,262.13 × 1,315.90
  4. Step 4: Simplify right side
    2,363.82x = 4,292,636.87
  5. Step 5: Solve for x
    x = 4,292,636.87/2,363.82
  6. Step 6: Final answer
    x = 1,815.97

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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.