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Finding the Fourth Proportional to 3,412.80, 4,708 and 2,016.32

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Solution

The fourth proportional to 3,412.80, 4,708 and 2,016.32 is: 2,781.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.80 : 4,708 = 2,016.32 : x
  2. Step 2: Convert to fraction form
    3,412.80/4,708 = 2,016.32/x
  3. Step 3: Cross multiply
    3,412.80x = 4,708 × 2,016.32
  4. Step 4: Simplify right side
    3,412.80x = 9,492,834.56
  5. Step 5: Solve for x
    x = 9,492,834.56/3,412.80
  6. Step 6: Final answer
    x = 2,781.54

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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.