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Finding the Fourth Proportional to 2,265.29, 3,398.25 and 705.41

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Solution

The fourth proportional to 2,265.29, 3,398.25 and 705.41 is: 1,058.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265.29 : 3,398.25 = 705.41 : x
  2. Step 2: Convert to fraction form
    2,265.29/3,398.25 = 705.41/x
  3. Step 3: Cross multiply
    2,265.29x = 3,398.25 × 705.41
  4. Step 4: Simplify right side
    2,265.29x = 2,397,139.01
  5. Step 5: Solve for x
    x = 2,397,139.01/2,265.29
  6. Step 6: Final answer
    x = 1,058.21

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