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Finding the Fourth Proportional to 2,967.74, 4,452.38 and 1,118.87

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Solution

The fourth proportional to 2,967.74, 4,452.38 and 1,118.87 is: 1,678.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967.74 : 4,452.38 = 1,118.87 : x
  2. Step 2: Convert to fraction form
    2,967.74/4,452.38 = 1,118.87/x
  3. Step 3: Cross multiply
    2,967.74x = 4,452.38 × 1,118.87
  4. Step 4: Simplify right side
    2,967.74x = 4,981,634.41
  5. Step 5: Solve for x
    x = 4,981,634.41/2,967.74
  6. Step 6: Final answer
    x = 1,678.60

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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.