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Finding the Fourth Proportional to 3,091.69, 4,638.11 and 1,242.95

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Solution

The fourth proportional to 3,091.69, 4,638.11 and 1,242.95 is: 1,864.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,091.69 : 4,638.11 = 1,242.95 : x
  2. Step 2: Convert to fraction form
    3,091.69/4,638.11 = 1,242.95/x
  3. Step 3: Cross multiply
    3,091.69x = 4,638.11 × 1,242.95
  4. Step 4: Simplify right side
    3,091.69x = 5,764,918.74
  5. Step 5: Solve for x
    x = 5,764,918.74/3,091.69
  6. Step 6: Final answer
    x = 1,864.65

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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.