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Finding the Fourth Proportional to 1,367.46, 2,049.76 and 928.74

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Solution

The fourth proportional to 1,367.46, 2,049.76 and 928.74 is: 1,392.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367.46 : 2,049.76 = 928.74 : x
  2. Step 2: Convert to fraction form
    1,367.46/2,049.76 = 928.74/x
  3. Step 3: Cross multiply
    1,367.46x = 2,049.76 × 928.74
  4. Step 4: Simplify right side
    1,367.46x = 1,903,694.10
  5. Step 5: Solve for x
    x = 1,903,694.10/1,367.46
  6. Step 6: Final answer
    x = 1,392.14

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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.