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Finding the Fourth Proportional to 2,154.81, 3,225.83 and 1,330.43

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Solution

The fourth proportional to 2,154.81, 3,225.83 and 1,330.43 is: 1,991.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.81 : 3,225.83 = 1,330.43 : x
  2. Step 2: Convert to fraction form
    2,154.81/3,225.83 = 1,330.43/x
  3. Step 3: Cross multiply
    2,154.81x = 3,225.83 × 1,330.43
  4. Step 4: Simplify right side
    2,154.81x = 4,291,729.62
  5. Step 5: Solve for x
    x = 4,291,729.62/2,154.81
  6. Step 6: Final answer
    x = 1,991.70

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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.