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Finding the Fourth Proportional to 1,895.70, 2,614.23 and 1,149.78

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Solution

The fourth proportional to 1,895.70, 2,614.23 and 1,149.78 is: 1,585.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,895.70 : 2,614.23 = 1,149.78 : x
  2. Step 2: Convert to fraction form
    1,895.70/2,614.23 = 1,149.78/x
  3. Step 3: Cross multiply
    1,895.70x = 2,614.23 × 1,149.78
  4. Step 4: Simplify right side
    1,895.70x = 3,005,789.37
  5. Step 5: Solve for x
    x = 3,005,789.37/1,895.70
  6. Step 6: Final answer
    x = 1,585.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.