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Finding the Fourth Proportional to 3,452.19, 5,178.96 and 1,260.63

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Solution

The fourth proportional to 3,452.19, 5,178.96 and 1,260.63 is: 1,891.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,452.19 : 5,178.96 = 1,260.63 : x
  2. Step 2: Convert to fraction form
    3,452.19/5,178.96 = 1,260.63/x
  3. Step 3: Cross multiply
    3,452.19x = 5,178.96 × 1,260.63
  4. Step 4: Simplify right side
    3,452.19x = 6,528,752.34
  5. Step 5: Solve for x
    x = 6,528,752.34/3,452.19
  6. Step 6: Final answer
    x = 1,891.19

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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.