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Finding the Fourth Proportional to 2,226.89, 3,340.23 and 583.40

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Solution

The fourth proportional to 2,226.89, 3,340.23 and 583.40 is: 875.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,226.89 : 3,340.23 = 583.40 : x
  2. Step 2: Convert to fraction form
    2,226.89/3,340.23 = 583.40/x
  3. Step 3: Cross multiply
    2,226.89x = 3,340.23 × 583.40
  4. Step 4: Simplify right side
    2,226.89x = 1,948,674.94
  5. Step 5: Solve for x
    x = 1,948,674.94/2,226.89
  6. Step 6: Final answer
    x = 875.07

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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.