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Finding the Fourth Proportional to 2,146.63, 3,217.71 and 1,049.49

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Solution

The fourth proportional to 2,146.63, 3,217.71 and 1,049.49 is: 1,573.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.63 : 3,217.71 = 1,049.49 : x
  2. Step 2: Convert to fraction form
    2,146.63/3,217.71 = 1,049.49/x
  3. Step 3: Cross multiply
    2,146.63x = 3,217.71 × 1,049.49
  4. Step 4: Simplify right side
    2,146.63x = 3,376,954.47
  5. Step 5: Solve for x
    x = 3,376,954.47/2,146.63
  6. Step 6: Final answer
    x = 1,573.14

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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.