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Finding the Fourth Proportional to 2,177.69, 3,265.95 and 944.81

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Solution

The fourth proportional to 2,177.69, 3,265.95 and 944.81 is: 1,416.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,177.69 : 3,265.95 = 944.81 : x
  2. Step 2: Convert to fraction form
    2,177.69/3,265.95 = 944.81/x
  3. Step 3: Cross multiply
    2,177.69x = 3,265.95 × 944.81
  4. Step 4: Simplify right side
    2,177.69x = 3,085,704.26
  5. Step 5: Solve for x
    x = 3,085,704.26/2,177.69
  6. Step 6: Final answer
    x = 1,416.96

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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.