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Finding the Fourth Proportional to 2,812.96, 4,223.04 and 2,164.12

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Solution

The fourth proportional to 2,812.96, 4,223.04 and 2,164.12 is: 3,248.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,812.96 : 4,223.04 = 2,164.12 : x
  2. Step 2: Convert to fraction form
    2,812.96/4,223.04 = 2,164.12/x
  3. Step 3: Cross multiply
    2,812.96x = 4,223.04 × 2,164.12
  4. Step 4: Simplify right side
    2,812.96x = 9,139,165.32
  5. Step 5: Solve for x
    x = 9,139,165.32/2,812.96
  6. Step 6: Final answer
    x = 3,248.95

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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.