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Finding the Fourth Proportional to 2,356.50, 3,251.97 and 1,308.66

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Solution

The fourth proportional to 2,356.50, 3,251.97 and 1,308.66 is: 1,805.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.50 : 3,251.97 = 1,308.66 : x
  2. Step 2: Convert to fraction form
    2,356.50/3,251.97 = 1,308.66/x
  3. Step 3: Cross multiply
    2,356.50x = 3,251.97 × 1,308.66
  4. Step 4: Simplify right side
    2,356.50x = 4,255,723.06
  5. Step 5: Solve for x
    x = 4,255,723.06/2,356.50
  6. Step 6: Final answer
    x = 1,805.95

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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.