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Finding the Fourth Proportional to 3,412.82, 5,114.28 and 1,948.88

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Solution

The fourth proportional to 3,412.82, 5,114.28 and 1,948.88 is: 2,920.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.82 : 5,114.28 = 1,948.88 : x
  2. Step 2: Convert to fraction form
    3,412.82/5,114.28 = 1,948.88/x
  3. Step 3: Cross multiply
    3,412.82x = 5,114.28 × 1,948.88
  4. Step 4: Simplify right side
    3,412.82x = 9,967,118.01
  5. Step 5: Solve for x
    x = 9,967,118.01/3,412.82
  6. Step 6: Final answer
    x = 2,920.49

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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.