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Finding the Fourth Proportional to 2,591.53, 3,884.95 and 946.92

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Solution

The fourth proportional to 2,591.53, 3,884.95 and 946.92 is: 1,419.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,591.53 : 3,884.95 = 946.92 : x
  2. Step 2: Convert to fraction form
    2,591.53/3,884.95 = 946.92/x
  3. Step 3: Cross multiply
    2,591.53x = 3,884.95 × 946.92
  4. Step 4: Simplify right side
    2,591.53x = 3,678,736.85
  5. Step 5: Solve for x
    x = 3,678,736.85/2,591.53
  6. Step 6: Final answer
    x = 1,419.52

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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.