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Finding the Fourth Proportional to 3,119.79, 4,680.36 and 928.70

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Solution

The fourth proportional to 3,119.79, 4,680.36 and 928.70 is: 1,393.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,119.79 : 4,680.36 = 928.70 : x
  2. Step 2: Convert to fraction form
    3,119.79/4,680.36 = 928.70/x
  3. Step 3: Cross multiply
    3,119.79x = 4,680.36 × 928.70
  4. Step 4: Simplify right side
    3,119.79x = 4,346,626.93
  5. Step 5: Solve for x
    x = 4,346,626.93/3,119.79
  6. Step 6: Final answer
    x = 1,393.24

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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.