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Finding the Fourth Proportional to 2,817.54, 4,220.82 and 1,357.71

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Solution

The fourth proportional to 2,817.54, 4,220.82 and 1,357.71 is: 2,033.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,817.54 : 4,220.82 = 1,357.71 : x
  2. Step 2: Convert to fraction form
    2,817.54/4,220.82 = 1,357.71/x
  3. Step 3: Cross multiply
    2,817.54x = 4,220.82 × 1,357.71
  4. Step 4: Simplify right side
    2,817.54x = 5,730,649.52
  5. Step 5: Solve for x
    x = 5,730,649.52/2,817.54
  6. Step 6: Final answer
    x = 2,033.92

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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.