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Finding the Fourth Proportional to 4,822.14, 7,233.90 and 2,048.80

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Solution

The fourth proportional to 4,822.14, 7,233.90 and 2,048.80 is: 3,073.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,822.14 : 7,233.90 = 2,048.80 : x
  2. Step 2: Convert to fraction form
    4,822.14/7,233.90 = 2,048.80/x
  3. Step 3: Cross multiply
    4,822.14x = 7,233.90 × 2,048.80
  4. Step 4: Simplify right side
    4,822.14x = 14,820,814.32
  5. Step 5: Solve for x
    x = 14,820,814.32/4,822.14
  6. Step 6: Final answer
    x = 3,073.49

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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.