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Finding the Fourth Proportional to 2,267.19, 3,401.12 and 707.33

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Solution

The fourth proportional to 2,267.19, 3,401.12 and 707.33 is: 1,061.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,267.19 : 3,401.12 = 707.33 : x
  2. Step 2: Convert to fraction form
    2,267.19/3,401.12 = 707.33/x
  3. Step 3: Cross multiply
    2,267.19x = 3,401.12 × 707.33
  4. Step 4: Simplify right side
    2,267.19x = 2,405,724.48
  5. Step 5: Solve for x
    x = 2,405,724.48/2,267.19
  6. Step 6: Final answer
    x = 1,061.10

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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.