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Finding the Fourth Proportional to 2,949.70, 4,044.20 and 2,897.05

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Solution

The fourth proportional to 2,949.70, 4,044.20 and 2,897.05 is: 3,972.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,949.70 : 4,044.20 = 2,897.05 : x
  2. Step 2: Convert to fraction form
    2,949.70/4,044.20 = 2,897.05/x
  3. Step 3: Cross multiply
    2,949.70x = 4,044.20 × 2,897.05
  4. Step 4: Simplify right side
    2,949.70x = 11,716,229.39
  5. Step 5: Solve for x
    x = 11,716,229.39/2,949.70
  6. Step 6: Final answer
    x = 3,972.01

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.