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Finding the Fourth Proportional to 2,358.39, 3,254.33 and 1,363.99

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Solution

The fourth proportional to 2,358.39, 3,254.33 and 1,363.99 is: 1,882.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358.39 : 3,254.33 = 1,363.99 : x
  2. Step 2: Convert to fraction form
    2,358.39/3,254.33 = 1,363.99/x
  3. Step 3: Cross multiply
    2,358.39x = 3,254.33 × 1,363.99
  4. Step 4: Simplify right side
    2,358.39x = 4,438,857.31
  5. Step 5: Solve for x
    x = 4,438,857.31/2,358.39
  6. Step 6: Final answer
    x = 1,882.16

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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.