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Finding the Fourth Proportional to 2,156.81, 3,228.83 and 1,332.44

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Solution

The fourth proportional to 2,156.81, 3,228.83 and 1,332.44 is: 1,994.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,156.81 : 3,228.83 = 1,332.44 : x
  2. Step 2: Convert to fraction form
    2,156.81/3,228.83 = 1,332.44/x
  3. Step 3: Cross multiply
    2,156.81x = 3,228.83 × 1,332.44
  4. Step 4: Simplify right side
    2,156.81x = 4,302,199.44
  5. Step 5: Solve for x
    x = 4,302,199.44/2,156.81
  6. Step 6: Final answer
    x = 1,994.71

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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.