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Finding the Fourth Proportional to 2,044.39, 3,065.68 and 583.21

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Solution

The fourth proportional to 2,044.39, 3,065.68 and 583.21 is: 874.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044.39 : 3,065.68 = 583.21 : x
  2. Step 2: Convert to fraction form
    2,044.39/3,065.68 = 583.21/x
  3. Step 3: Cross multiply
    2,044.39x = 3,065.68 × 583.21
  4. Step 4: Simplify right side
    2,044.39x = 1,787,935.23
  5. Step 5: Solve for x
    x = 1,787,935.23/2,044.39
  6. Step 6: Final answer
    x = 874.56

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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.