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Finding the Fourth Proportional to 1,552.75, 2,143.04 and 1,223.66

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Solution

The fourth proportional to 1,552.75, 2,143.04 and 1,223.66 is: 1,688.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,552.75 : 2,143.04 = 1,223.66 : x
  2. Step 2: Convert to fraction form
    1,552.75/2,143.04 = 1,223.66/x
  3. Step 3: Cross multiply
    1,552.75x = 2,143.04 × 1,223.66
  4. Step 4: Simplify right side
    1,552.75x = 2,622,351.57
  5. Step 5: Solve for x
    x = 2,622,351.57/1,552.75
  6. Step 6: Final answer
    x = 1,688.85

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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.