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Finding the Fourth Proportional to 3,380.74, 5,067.62 and 1,300.18

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Solution

The fourth proportional to 3,380.74, 5,067.62 and 1,300.18 is: 1,948.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,380.74 : 5,067.62 = 1,300.18 : x
  2. Step 2: Convert to fraction form
    3,380.74/5,067.62 = 1,300.18/x
  3. Step 3: Cross multiply
    3,380.74x = 5,067.62 × 1,300.18
  4. Step 4: Simplify right side
    3,380.74x = 6,588,818.17
  5. Step 5: Solve for x
    x = 6,588,818.17/3,380.74
  6. Step 6: Final answer
    x = 1,948.93

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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.