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Finding the Fourth Proportional to 2,713.86, 4,069.26 and 864.54

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Solution

The fourth proportional to 2,713.86, 4,069.26 and 864.54 is: 1,296.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713.86 : 4,069.26 = 864.54 : x
  2. Step 2: Convert to fraction form
    2,713.86/4,069.26 = 864.54/x
  3. Step 3: Cross multiply
    2,713.86x = 4,069.26 × 864.54
  4. Step 4: Simplify right side
    2,713.86x = 3,518,038.04
  5. Step 5: Solve for x
    x = 3,518,038.04/2,713.86
  6. Step 6: Final answer
    x = 1,296.32

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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.