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Finding the Fourth Proportional to 2,879.20, 4,316.16 and 930.40

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Solution

The fourth proportional to 2,879.20, 4,316.16 and 930.40 is: 1,394.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,879.20 : 4,316.16 = 930.40 : x
  2. Step 2: Convert to fraction form
    2,879.20/4,316.16 = 930.40/x
  3. Step 3: Cross multiply
    2,879.20x = 4,316.16 × 930.40
  4. Step 4: Simplify right side
    2,879.20x = 4,015,755.26
  5. Step 5: Solve for x
    x = 4,015,755.26/2,879.20
  6. Step 6: Final answer
    x = 1,394.75

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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.