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Finding the Fourth Proportional to 2,226.52, 3,339.93 and 583.12

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Solution

The fourth proportional to 2,226.52, 3,339.93 and 583.12 is: 874.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,226.52 : 3,339.93 = 583.12 : x
  2. Step 2: Convert to fraction form
    2,226.52/3,339.93 = 583.12/x
  3. Step 3: Cross multiply
    2,226.52x = 3,339.93 × 583.12
  4. Step 4: Simplify right side
    2,226.52x = 1,947,579.98
  5. Step 5: Solve for x
    x = 1,947,579.98/2,226.52
  6. Step 6: Final answer
    x = 874.72

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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.