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Finding the Fourth Proportional to 2,226.96, 3,340.17 and 583.68

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Solution

The fourth proportional to 2,226.96, 3,340.17 and 583.68 is: 875.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,226.96 : 3,340.17 = 583.68 : x
  2. Step 2: Convert to fraction form
    2,226.96/3,340.17 = 583.68/x
  3. Step 3: Cross multiply
    2,226.96x = 3,340.17 × 583.68
  4. Step 4: Simplify right side
    2,226.96x = 1,949,590.43
  5. Step 5: Solve for x
    x = 1,949,590.43/2,226.96
  6. Step 6: Final answer
    x = 875.45

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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.