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Finding the Fourth Proportional to 2,267.64, 3,130.92 and 1,744.92

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Solution

The fourth proportional to 2,267.64, 3,130.92 and 1,744.92 is: 2,409.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,267.64 : 3,130.92 = 1,744.92 : x
  2. Step 2: Convert to fraction form
    2,267.64/3,130.92 = 1,744.92/x
  3. Step 3: Cross multiply
    2,267.64x = 3,130.92 × 1,744.92
  4. Step 4: Simplify right side
    2,267.64x = 5,463,204.93
  5. Step 5: Solve for x
    x = 5,463,204.93/2,267.64
  6. Step 6: Final answer
    x = 2,409.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.