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Finding the Fourth Proportional to 2,728.18, 4,089.07 and 1,264.24

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Solution

The fourth proportional to 2,728.18, 4,089.07 and 1,264.24 is: 1,894.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,728.18 : 4,089.07 = 1,264.24 : x
  2. Step 2: Convert to fraction form
    2,728.18/4,089.07 = 1,264.24/x
  3. Step 3: Cross multiply
    2,728.18x = 4,089.07 × 1,264.24
  4. Step 4: Simplify right side
    2,728.18x = 5,169,565.86
  5. Step 5: Solve for x
    x = 5,169,565.86/2,728.18
  6. Step 6: Final answer
    x = 1,894.88

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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.