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Finding the Fourth Proportional to 2,226.14, 3,340.02 and 928.52

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Solution

The fourth proportional to 2,226.14, 3,340.02 and 928.52 is: 1,393.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,226.14 : 3,340.02 = 928.52 : x
  2. Step 2: Convert to fraction form
    2,226.14/3,340.02 = 928.52/x
  3. Step 3: Cross multiply
    2,226.14x = 3,340.02 × 928.52
  4. Step 4: Simplify right side
    2,226.14x = 3,101,275.37
  5. Step 5: Solve for x
    x = 3,101,275.37/2,226.14
  6. Step 6: Final answer
    x = 1,393.12

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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.