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Finding the Fourth Proportional to 2,949.75, 4,424.63 and 1,218.42

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Solution

The fourth proportional to 2,949.75, 4,424.63 and 1,218.42 is: 1,827.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,949.75 : 4,424.63 = 1,218.42 : x
  2. Step 2: Convert to fraction form
    2,949.75/4,424.63 = 1,218.42/x
  3. Step 3: Cross multiply
    2,949.75x = 4,424.63 × 1,218.42
  4. Step 4: Simplify right side
    2,949.75x = 5,391,051.59
  5. Step 5: Solve for x
    x = 5,391,051.59/2,949.75
  6. Step 6: Final answer
    x = 1,827.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.