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Finding the Fourth Proportional to 1,945.17, 2,898.90 and 1,882.91

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Solution

The fourth proportional to 1,945.17, 2,898.90 and 1,882.91 is: 2,806.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,945.17 : 2,898.90 = 1,882.91 : x
  2. Step 2: Convert to fraction form
    1,945.17/2,898.90 = 1,882.91/x
  3. Step 3: Cross multiply
    1,945.17x = 2,898.90 × 1,882.91
  4. Step 4: Simplify right side
    1,945.17x = 5,458,375.05
  5. Step 5: Solve for x
    x = 5,458,375.05/1,945.17
  6. Step 6: Final answer
    x = 2,806.12

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.