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Finding the Fourth Proportional to 3,412.80, 5,115.60 and 1,948.80

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Solution

The fourth proportional to 3,412.80, 5,115.60 and 1,948.80 is: 2,921.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.80 : 5,115.60 = 1,948.80 : x
  2. Step 2: Convert to fraction form
    3,412.80/5,115.60 = 1,948.80/x
  3. Step 3: Cross multiply
    3,412.80x = 5,115.60 × 1,948.80
  4. Step 4: Simplify right side
    3,412.80x = 9,969,281.28
  5. Step 5: Solve for x
    x = 9,969,281.28/3,412.80
  6. Step 6: Final answer
    x = 2,921.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.