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Finding the Fourth Proportional to 2,849.44, 4,274.61 and 1,206

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Solution

The fourth proportional to 2,849.44, 4,274.61 and 1,206 is: 1,809.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,849.44 : 4,274.61 = 1,206 : x
  2. Step 2: Convert to fraction form
    2,849.44/4,274.61 = 1,206/x
  3. Step 3: Cross multiply
    2,849.44x = 4,274.61 × 1,206
  4. Step 4: Simplify right side
    2,849.44x = 5,155,184.18
  5. Step 5: Solve for x
    x = 5,155,184.18/2,849.44
  6. Step 6: Final answer
    x = 1,809.19

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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.