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Finding the Fourth Proportional to 2,984.92, 4,473.72 and 1,034.86

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Solution

The fourth proportional to 2,984.92, 4,473.72 and 1,034.86 is: 1,551.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,984.92 : 4,473.72 = 1,034.86 : x
  2. Step 2: Convert to fraction form
    2,984.92/4,473.72 = 1,034.86/x
  3. Step 3: Cross multiply
    2,984.92x = 4,473.72 × 1,034.86
  4. Step 4: Simplify right side
    2,984.92x = 4,629,673.88
  5. Step 5: Solve for x
    x = 4,629,673.88/2,984.92
  6. Step 6: Final answer
    x = 1,551.02

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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.