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Finding the Fourth Proportional to 2,155.27, 2,974.27 and 1,223.77

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Solution

The fourth proportional to 2,155.27, 2,974.27 and 1,223.77 is: 1,688.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.27 : 2,974.27 = 1,223.77 : x
  2. Step 2: Convert to fraction form
    2,155.27/2,974.27 = 1,223.77/x
  3. Step 3: Cross multiply
    2,155.27x = 2,974.27 × 1,223.77
  4. Step 4: Simplify right side
    2,155.27x = 3,639,816.49
  5. Step 5: Solve for x
    x = 3,639,816.49/2,155.27
  6. Step 6: Final answer
    x = 1,688.80

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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.