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Finding the Fourth Proportional to 1,383.98, 2,071.92 and 1,235.76

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Solution

The fourth proportional to 1,383.98, 2,071.92 and 1,235.76 is: 1,850.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.98 : 2,071.92 = 1,235.76 : x
  2. Step 2: Convert to fraction form
    1,383.98/2,071.92 = 1,235.76/x
  3. Step 3: Cross multiply
    1,383.98x = 2,071.92 × 1,235.76
  4. Step 4: Simplify right side
    1,383.98x = 2,560,395.86
  5. Step 5: Solve for x
    x = 2,560,395.86/1,383.98
  6. Step 6: Final answer
    x = 1,850.02

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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.