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Finding the Fourth Proportional to 1,247.84, 1,722.23 and 1,037.73

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Solution

The fourth proportional to 1,247.84, 1,722.23 and 1,037.73 is: 1,432.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247.84 : 1,722.23 = 1,037.73 : x
  2. Step 2: Convert to fraction form
    1,247.84/1,722.23 = 1,037.73/x
  3. Step 3: Cross multiply
    1,247.84x = 1,722.23 × 1,037.73
  4. Step 4: Simplify right side
    1,247.84x = 1,787,209.74
  5. Step 5: Solve for x
    x = 1,787,209.74/1,247.84
  6. Step 6: Final answer
    x = 1,432.24

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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.