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Finding the Fourth Proportional to 1,383.13, 1,908.61 and 851.86

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Solution

The fourth proportional to 1,383.13, 1,908.61 and 851.86 is: 1,175.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.13 : 1,908.61 = 851.86 : x
  2. Step 2: Convert to fraction form
    1,383.13/1,908.61 = 851.86/x
  3. Step 3: Cross multiply
    1,383.13x = 1,908.61 × 851.86
  4. Step 4: Simplify right side
    1,383.13x = 1,625,861.61
  5. Step 5: Solve for x
    x = 1,625,861.61/1,383.13
  6. Step 6: Final answer
    x = 1,175.50

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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.