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Finding the Fourth Proportional to 3,412.80, 4,708.13 and 2,068.20

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Solution

The fourth proportional to 3,412.80, 4,708.13 and 2,068.20 is: 2,853.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.80 : 4,708.13 = 2,068.20 : x
  2. Step 2: Convert to fraction form
    3,412.80/4,708.13 = 2,068.20/x
  3. Step 3: Cross multiply
    3,412.80x = 4,708.13 × 2,068.20
  4. Step 4: Simplify right side
    3,412.80x = 9,737,344.13
  5. Step 5: Solve for x
    x = 9,737,344.13/3,412.80
  6. Step 6: Final answer
    x = 2,853.18

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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.