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Finding the Fourth Proportional to 2,266.23, 3,398.38 and 705.86

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Solution

The fourth proportional to 2,266.23, 3,398.38 and 705.86 is: 1,058.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.23 : 3,398.38 = 705.86 : x
  2. Step 2: Convert to fraction form
    2,266.23/3,398.38 = 705.86/x
  3. Step 3: Cross multiply
    2,266.23x = 3,398.38 × 705.86
  4. Step 4: Simplify right side
    2,266.23x = 2,398,761.75
  5. Step 5: Solve for x
    x = 2,398,761.75/2,266.23
  6. Step 6: Final answer
    x = 1,058.48

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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.