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Finding the Fourth Proportional to 2,815.48, 4,223.22 and 867.68

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Solution

The fourth proportional to 2,815.48, 4,223.22 and 867.68 is: 1,301.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,815.48 : 4,223.22 = 867.68 : x
  2. Step 2: Convert to fraction form
    2,815.48/4,223.22 = 867.68/x
  3. Step 3: Cross multiply
    2,815.48x = 4,223.22 × 867.68
  4. Step 4: Simplify right side
    2,815.48x = 3,664,403.53
  5. Step 5: Solve for x
    x = 3,664,403.53/2,815.48
  6. Step 6: Final answer
    x = 1,301.52

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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.