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Finding the Fourth Proportional to 2,366.86, 3,266.04 and 1,371.46

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Solution

The fourth proportional to 2,366.86, 3,266.04 and 1,371.46 is: 1,892.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,366.86 : 3,266.04 = 1,371.46 : x
  2. Step 2: Convert to fraction form
    2,366.86/3,266.04 = 1,371.46/x
  3. Step 3: Cross multiply
    2,366.86x = 3,266.04 × 1,371.46
  4. Step 4: Simplify right side
    2,366.86x = 4,479,243.22
  5. Step 5: Solve for x
    x = 4,479,243.22/2,366.86
  6. Step 6: Final answer
    x = 1,892.48

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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.