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Finding the Fourth Proportional to 2,267.29, 3,401.25 and 707.41

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Solution

The fourth proportional to 2,267.29, 3,401.25 and 707.41 is: 1,061.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,267.29 : 3,401.25 = 707.41 : x
  2. Step 2: Convert to fraction form
    2,267.29/3,401.25 = 707.41/x
  3. Step 3: Cross multiply
    2,267.29x = 3,401.25 × 707.41
  4. Step 4: Simplify right side
    2,267.29x = 2,406,078.26
  5. Step 5: Solve for x
    x = 2,406,078.26/2,267.29
  6. Step 6: Final answer
    x = 1,061.21

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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.