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Finding the Fourth Proportional to 2,277.52, 3,416.78 and 943.38

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Solution

The fourth proportional to 2,277.52, 3,416.78 and 943.38 is: 1,415.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.52 : 3,416.78 = 943.38 : x
  2. Step 2: Convert to fraction form
    2,277.52/3,416.78 = 943.38/x
  3. Step 3: Cross multiply
    2,277.52x = 3,416.78 × 943.38
  4. Step 4: Simplify right side
    2,277.52x = 3,223,324.27
  5. Step 5: Solve for x
    x = 3,223,324.27/2,277.52
  6. Step 6: Final answer
    x = 1,415.28

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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.