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Finding the Fourth Proportional to 2,864.65, 4,293.97 and 1,199.72

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Solution

The fourth proportional to 2,864.65, 4,293.97 and 1,199.72 is: 1,798.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864.65 : 4,293.97 = 1,199.72 : x
  2. Step 2: Convert to fraction form
    2,864.65/4,293.97 = 1,199.72/x
  3. Step 3: Cross multiply
    2,864.65x = 4,293.97 × 1,199.72
  4. Step 4: Simplify right side
    2,864.65x = 5,151,555.69
  5. Step 5: Solve for x
    x = 5,151,555.69/2,864.65
  6. Step 6: Final answer
    x = 1,798.32

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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.