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Finding the Fourth Proportional to 2,443.38, 3,644.47 and 2,048.80

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Solution

The fourth proportional to 2,443.38, 3,644.47 and 2,048.80 is: 3,055.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,443.38 : 3,644.47 = 2,048.80 : x
  2. Step 2: Convert to fraction form
    2,443.38/3,644.47 = 2,048.80/x
  3. Step 3: Cross multiply
    2,443.38x = 3,644.47 × 2,048.80
  4. Step 4: Simplify right side
    2,443.38x = 7,466,790.14
  5. Step 5: Solve for x
    x = 7,466,790.14/2,443.38
  6. Step 6: Final answer
    x = 3,055.93

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.