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Finding the Fourth Proportional to 2,226.75, 3,340.32 and 583.29

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Solution

The fourth proportional to 2,226.75, 3,340.32 and 583.29 is: 874.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,226.75 : 3,340.32 = 583.29 : x
  2. Step 2: Convert to fraction form
    2,226.75/3,340.32 = 583.29/x
  3. Step 3: Cross multiply
    2,226.75x = 3,340.32 × 583.29
  4. Step 4: Simplify right side
    2,226.75x = 1,948,355.63
  5. Step 5: Solve for x
    x = 1,948,355.63/2,226.75
  6. Step 6: Final answer
    x = 874.98

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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.