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Finding the Fourth Proportional to 2,255.67, 3,113.24 and 1,469.70

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Solution

The fourth proportional to 2,255.67, 3,113.24 and 1,469.70 is: 2,028.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,255.67 : 3,113.24 = 1,469.70 : x
  2. Step 2: Convert to fraction form
    2,255.67/3,113.24 = 1,469.70/x
  3. Step 3: Cross multiply
    2,255.67x = 3,113.24 × 1,469.70
  4. Step 4: Simplify right side
    2,255.67x = 4,575,521.48
  5. Step 5: Solve for x
    x = 4,575,521.48/2,255.67
  6. Step 6: Final answer
    x = 2,028.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.