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Finding the Fourth Proportional to 1,772.46, 2,658.69 and 1,222.98

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Solution

The fourth proportional to 1,772.46, 2,658.69 and 1,222.98 is: 1,834.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,772.46 : 2,658.69 = 1,222.98 : x
  2. Step 2: Convert to fraction form
    1,772.46/2,658.69 = 1,222.98/x
  3. Step 3: Cross multiply
    1,772.46x = 2,658.69 × 1,222.98
  4. Step 4: Simplify right side
    1,772.46x = 3,251,524.70
  5. Step 5: Solve for x
    x = 3,251,524.70/1,772.46
  6. Step 6: Final answer
    x = 1,834.47

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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.