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Finding the Fourth Proportional to 2,267.33, 3,401.29 and 707.43

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Solution

The fourth proportional to 2,267.33, 3,401.29 and 707.43 is: 1,061.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,267.33 : 3,401.29 = 707.43 : x
  2. Step 2: Convert to fraction form
    2,267.33/3,401.29 = 707.43/x
  3. Step 3: Cross multiply
    2,267.33x = 3,401.29 × 707.43
  4. Step 4: Simplify right side
    2,267.33x = 2,406,188.22
  5. Step 5: Solve for x
    x = 2,406,188.22/2,267.33
  6. Step 6: Final answer
    x = 1,061.25

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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.