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Finding the Fourth Proportional to 1,383.59, 1,910.85 and 942.68

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Solution

The fourth proportional to 1,383.59, 1,910.85 and 942.68 is: 1,301.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.59 : 1,910.85 = 942.68 : x
  2. Step 2: Convert to fraction form
    1,383.59/1,910.85 = 942.68/x
  3. Step 3: Cross multiply
    1,383.59x = 1,910.85 × 942.68
  4. Step 4: Simplify right side
    1,383.59x = 1,801,320.08
  5. Step 5: Solve for x
    x = 1,801,320.08/1,383.59
  6. Step 6: Final answer
    x = 1,301.92

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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.