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Finding the Fourth Proportional to 2,044.27, 3,065.85 and 583.03

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Solution

The fourth proportional to 2,044.27, 3,065.85 and 583.03 is: 874.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044.27 : 3,065.85 = 583.03 : x
  2. Step 2: Convert to fraction form
    2,044.27/3,065.85 = 583.03/x
  3. Step 3: Cross multiply
    2,044.27x = 3,065.85 × 583.03
  4. Step 4: Simplify right side
    2,044.27x = 1,787,486.36
  5. Step 5: Solve for x
    x = 1,787,486.36/2,044.27
  6. Step 6: Final answer
    x = 874.39

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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.