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Finding the Fourth Proportional to 2,984.76, 4,478.22 and 1,252.44

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Solution

The fourth proportional to 2,984.76, 4,478.22 and 1,252.44 is: 1,879.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,984.76 : 4,478.22 = 1,252.44 : x
  2. Step 2: Convert to fraction form
    2,984.76/4,478.22 = 1,252.44/x
  3. Step 3: Cross multiply
    2,984.76x = 4,478.22 × 1,252.44
  4. Step 4: Simplify right side
    2,984.76x = 5,608,701.86
  5. Step 5: Solve for x
    x = 5,608,701.86/2,984.76
  6. Step 6: Final answer
    x = 1,879.11

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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.