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Finding the Fourth Proportional to 2,228.66, 3,335.76 and 1,187.18

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Solution

The fourth proportional to 2,228.66, 3,335.76 and 1,187.18 is: 1,776.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,228.66 : 3,335.76 = 1,187.18 : x
  2. Step 2: Convert to fraction form
    2,228.66/3,335.76 = 1,187.18/x
  3. Step 3: Cross multiply
    2,228.66x = 3,335.76 × 1,187.18
  4. Step 4: Simplify right side
    2,228.66x = 3,960,147.56
  5. Step 5: Solve for x
    x = 3,960,147.56/2,228.66
  6. Step 6: Final answer
    x = 1,776.92

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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.