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Finding the Fourth Proportional to 2,192.40, 3,289.14 and 1,544.40

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Solution

The fourth proportional to 2,192.40, 3,289.14 and 1,544.40 is: 2,316.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,192.40 : 3,289.14 = 1,544.40 : x
  2. Step 2: Convert to fraction form
    2,192.40/3,289.14 = 1,544.40/x
  3. Step 3: Cross multiply
    2,192.40x = 3,289.14 × 1,544.40
  4. Step 4: Simplify right side
    2,192.40x = 5,079,747.82
  5. Step 5: Solve for x
    x = 5,079,747.82/2,192.40
  6. Step 6: Final answer
    x = 2,316.98

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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.