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Finding the Fourth Proportional to 2,286.86, 3,152.99 and 1,866.78

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Solution

The fourth proportional to 2,286.86, 3,152.99 and 1,866.78 is: 2,573.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.86 : 3,152.99 = 1,866.78 : x
  2. Step 2: Convert to fraction form
    2,286.86/3,152.99 = 1,866.78/x
  3. Step 3: Cross multiply
    2,286.86x = 3,152.99 × 1,866.78
  4. Step 4: Simplify right side
    2,286.86x = 5,885,943.34
  5. Step 5: Solve for x
    x = 5,885,943.34/2,286.86
  6. Step 6: Final answer
    x = 2,573.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.