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Finding the Fourth Proportional to 2,247.07, 3,371.65 and 859.95

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Solution

The fourth proportional to 2,247.07, 3,371.65 and 859.95 is: 1,290.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,247.07 : 3,371.65 = 859.95 : x
  2. Step 2: Convert to fraction form
    2,247.07/3,371.65 = 859.95/x
  3. Step 3: Cross multiply
    2,247.07x = 3,371.65 × 859.95
  4. Step 4: Simplify right side
    2,247.07x = 2,899,434.55
  5. Step 5: Solve for x
    x = 2,899,434.55/2,247.07
  6. Step 6: Final answer
    x = 1,290.32

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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.