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Finding the Fourth Proportional to 2,988.48, 4,474.44 and 1,524.48

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Solution

The fourth proportional to 2,988.48, 4,474.44 and 1,524.48 is: 2,282.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,988.48 : 4,474.44 = 1,524.48 : x
  2. Step 2: Convert to fraction form
    2,988.48/4,474.44 = 1,524.48/x
  3. Step 3: Cross multiply
    2,988.48x = 4,474.44 × 1,524.48
  4. Step 4: Simplify right side
    2,988.48x = 6,821,194.29
  5. Step 5: Solve for x
    x = 6,821,194.29/2,988.48
  6. Step 6: Final answer
    x = 2,282.50

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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.