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Finding the Fourth Proportional to 2,228.05, 3,341.62 and 767.32

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Solution

The fourth proportional to 2,228.05, 3,341.62 and 767.32 is: 1,150.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,228.05 : 3,341.62 = 767.32 : x
  2. Step 2: Convert to fraction form
    2,228.05/3,341.62 = 767.32/x
  3. Step 3: Cross multiply
    2,228.05x = 3,341.62 × 767.32
  4. Step 4: Simplify right side
    2,228.05x = 2,564,091.86
  5. Step 5: Solve for x
    x = 2,564,091.86/2,228.05
  6. Step 6: Final answer
    x = 1,150.82

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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.