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Finding the Fourth Proportional to 2,253.69, 3,366.87 and 1,884.66

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Solution

The fourth proportional to 2,253.69, 3,366.87 and 1,884.66 is: 2,815.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,253.69 : 3,366.87 = 1,884.66 : x
  2. Step 2: Convert to fraction form
    2,253.69/3,366.87 = 1,884.66/x
  3. Step 3: Cross multiply
    2,253.69x = 3,366.87 × 1,884.66
  4. Step 4: Simplify right side
    2,253.69x = 6,345,405.21
  5. Step 5: Solve for x
    x = 6,345,405.21/2,253.69
  6. Step 6: Final answer
    x = 2,815.56

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.