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Finding the Fourth Proportional to 3,011.94, 4,158.27 and 2,269.17

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Solution

The fourth proportional to 3,011.94, 4,158.27 and 2,269.17 is: 3,132.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,011.94 : 4,158.27 = 2,269.17 : x
  2. Step 2: Convert to fraction form
    3,011.94/4,158.27 = 2,269.17/x
  3. Step 3: Cross multiply
    3,011.94x = 4,158.27 × 2,269.17
  4. Step 4: Simplify right side
    3,011.94x = 9,435,821.54
  5. Step 5: Solve for x
    x = 9,435,821.54/3,011.94
  6. Step 6: Final answer
    x = 3,132.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.