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Finding the Fourth Proportional to 2,812.16, 4,218.30 and 864.38

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Solution

The fourth proportional to 2,812.16, 4,218.30 and 864.38 is: 1,296.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,812.16 : 4,218.30 = 864.38 : x
  2. Step 2: Convert to fraction form
    2,812.16/4,218.30 = 864.38/x
  3. Step 3: Cross multiply
    2,812.16x = 4,218.30 × 864.38
  4. Step 4: Simplify right side
    2,812.16x = 3,646,193.06
  5. Step 5: Solve for x
    x = 3,646,193.06/2,812.16
  6. Step 6: Final answer
    x = 1,296.58

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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.