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Finding the Fourth Proportional to 2,864.56, 4,293.87 and 1,014.25

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Solution

The fourth proportional to 2,864.56, 4,293.87 and 1,014.25 is: 1,520.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864.56 : 4,293.87 = 1,014.25 : x
  2. Step 2: Convert to fraction form
    2,864.56/4,293.87 = 1,014.25/x
  3. Step 3: Cross multiply
    2,864.56x = 4,293.87 × 1,014.25
  4. Step 4: Simplify right side
    2,864.56x = 4,355,057.65
  5. Step 5: Solve for x
    x = 4,355,057.65/2,864.56
  6. Step 6: Final answer
    x = 1,520.32

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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.