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Finding the Fourth Proportional to 2,228.03, 3,342.58 and 767.15

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Solution

The fourth proportional to 2,228.03, 3,342.58 and 767.15 is: 1,150.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,228.03 : 3,342.58 = 767.15 : x
  2. Step 2: Convert to fraction form
    2,228.03/3,342.58 = 767.15/x
  3. Step 3: Cross multiply
    2,228.03x = 3,342.58 × 767.15
  4. Step 4: Simplify right side
    2,228.03x = 2,564,260.25
  5. Step 5: Solve for x
    x = 2,564,260.25/2,228.03
  6. Step 6: Final answer
    x = 1,150.91

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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.