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Finding the Fourth Proportional to 2,398.22, 3,595.14 and 858.86

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Solution

The fourth proportional to 2,398.22, 3,595.14 and 858.86 is: 1,287.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398.22 : 3,595.14 = 858.86 : x
  2. Step 2: Convert to fraction form
    2,398.22/3,595.14 = 858.86/x
  3. Step 3: Cross multiply
    2,398.22x = 3,595.14 × 858.86
  4. Step 4: Simplify right side
    2,398.22x = 3,087,721.94
  5. Step 5: Solve for x
    x = 3,087,721.94/2,398.22
  6. Step 6: Final answer
    x = 1,287.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.