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Finding the Fourth Proportional to 3,148.72, 4,723.08 and 1,418.80

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Solution

The fourth proportional to 3,148.72, 4,723.08 and 1,418.80 is: 2,128.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,148.72 : 4,723.08 = 1,418.80 : x
  2. Step 2: Convert to fraction form
    3,148.72/4,723.08 = 1,418.80/x
  3. Step 3: Cross multiply
    3,148.72x = 4,723.08 × 1,418.80
  4. Step 4: Simplify right side
    3,148.72x = 6,701,105.90
  5. Step 5: Solve for x
    x = 6,701,105.90/3,148.72
  6. Step 6: Final answer
    x = 2,128.20

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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.