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Finding the Fourth Proportional to 3,430.80, 4,734.48 and 2,015.28

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Solution

The fourth proportional to 3,430.80, 4,734.48 and 2,015.28 is: 2,781.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.80 : 4,734.48 = 2,015.28 : x
  2. Step 2: Convert to fraction form
    3,430.80/4,734.48 = 2,015.28/x
  3. Step 3: Cross multiply
    3,430.80x = 4,734.48 × 2,015.28
  4. Step 4: Simplify right side
    3,430.80x = 9,541,302.85
  5. Step 5: Solve for x
    x = 9,541,302.85/3,430.80
  6. Step 6: Final answer
    x = 2,781.07

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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.