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Finding the Fourth Proportional to 2,817.39, 4,223.24 and 1,355.75

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Solution

The fourth proportional to 2,817.39, 4,223.24 and 1,355.75 is: 2,032.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,817.39 : 4,223.24 = 1,355.75 : x
  2. Step 2: Convert to fraction form
    2,817.39/4,223.24 = 1,355.75/x
  3. Step 3: Cross multiply
    2,817.39x = 4,223.24 × 1,355.75
  4. Step 4: Simplify right side
    2,817.39x = 5,725,629.74
  5. Step 5: Solve for x
    x = 5,725,629.74/2,817.39
  6. Step 6: Final answer
    x = 2,032.25

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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.