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Finding the Fourth Proportional to 2,812.79, 4,218.89 and 865.15

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Solution

The fourth proportional to 2,812.79, 4,218.89 and 865.15 is: 1,297.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,812.79 : 4,218.89 = 865.15 : x
  2. Step 2: Convert to fraction form
    2,812.79/4,218.89 = 865.15/x
  3. Step 3: Cross multiply
    2,812.79x = 4,218.89 × 865.15
  4. Step 4: Simplify right side
    2,812.79x = 3,649,957.81
  5. Step 5: Solve for x
    x = 3,649,957.81/2,812.79
  6. Step 6: Final answer
    x = 1,297.63

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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.