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Finding the Fourth Proportional to 3,119.60, 4,679.40 and 928.28

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Solution

The fourth proportional to 3,119.60, 4,679.40 and 928.28 is: 1,392.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,119.60 : 4,679.40 = 928.28 : x
  2. Step 2: Convert to fraction form
    3,119.60/4,679.40 = 928.28/x
  3. Step 3: Cross multiply
    3,119.60x = 4,679.40 × 928.28
  4. Step 4: Simplify right side
    3,119.60x = 4,343,793.43
  5. Step 5: Solve for x
    x = 4,343,793.43/3,119.60
  6. Step 6: Final answer
    x = 1,392.42

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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.