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Finding the Fourth Proportional to 2,455.92, 3,686.60 and 1,223

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Solution

The fourth proportional to 2,455.92, 3,686.60 and 1,223 is: 1,835.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,455.92 : 3,686.60 = 1,223 : x
  2. Step 2: Convert to fraction form
    2,455.92/3,686.60 = 1,223/x
  3. Step 3: Cross multiply
    2,455.92x = 3,686.60 × 1,223
  4. Step 4: Simplify right side
    2,455.92x = 4,508,711.80
  5. Step 5: Solve for x
    x = 4,508,711.80/2,455.92
  6. Step 6: Final answer
    x = 1,835.85

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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.