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Finding the Fourth Proportional to 2,812.97, 4,210.52 and 2,288.53

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Solution

The fourth proportional to 2,812.97, 4,210.52 and 2,288.53 is: 3,425.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,812.97 : 4,210.52 = 2,288.53 : x
  2. Step 2: Convert to fraction form
    2,812.97/4,210.52 = 2,288.53/x
  3. Step 3: Cross multiply
    2,812.97x = 4,210.52 × 2,288.53
  4. Step 4: Simplify right side
    2,812.97x = 9,635,896.53
  5. Step 5: Solve for x
    x = 9,635,896.53/2,812.97
  6. Step 6: Final answer
    x = 3,425.52

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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.