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Finding the Fourth Proportional to 2,267.66, 3,401.60 and 1,174.16

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Solution

The fourth proportional to 2,267.66, 3,401.60 and 1,174.16 is: 1,761.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,267.66 : 3,401.60 = 1,174.16 : x
  2. Step 2: Convert to fraction form
    2,267.66/3,401.60 = 1,174.16/x
  3. Step 3: Cross multiply
    2,267.66x = 3,401.60 × 1,174.16
  4. Step 4: Simplify right side
    2,267.66x = 3,994,025.29
  5. Step 5: Solve for x
    x = 3,994,025.29/2,267.66
  6. Step 6: Final answer
    x = 1,761.30

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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.