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Finding the Fourth Proportional to 3,155.69, 4,358.50 and 2,159.22

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Solution

The fourth proportional to 3,155.69, 4,358.50 and 2,159.22 is: 2,982.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,155.69 : 4,358.50 = 2,159.22 : x
  2. Step 2: Convert to fraction form
    3,155.69/4,358.50 = 2,159.22/x
  3. Step 3: Cross multiply
    3,155.69x = 4,358.50 × 2,159.22
  4. Step 4: Simplify right side
    3,155.69x = 9,410,960.37
  5. Step 5: Solve for x
    x = 9,410,960.37/3,155.69
  6. Step 6: Final answer
    x = 2,982.22

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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.