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Finding the Fourth Proportional to 1,944.14, 2,916.76 and 1,079.06

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Solution

The fourth proportional to 1,944.14, 2,916.76 and 1,079.06 is: 1,618.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,944.14 : 2,916.76 = 1,079.06 : x
  2. Step 2: Convert to fraction form
    1,944.14/2,916.76 = 1,079.06/x
  3. Step 3: Cross multiply
    1,944.14x = 2,916.76 × 1,079.06
  4. Step 4: Simplify right side
    1,944.14x = 3,147,359.05
  5. Step 5: Solve for x
    x = 3,147,359.05/1,944.14
  6. Step 6: Final answer
    x = 1,618.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.