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Finding the Fourth Proportional to 1,845.57, 2,769.02 and 858.86

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Solution

The fourth proportional to 1,845.57, 2,769.02 and 858.86 is: 1,288.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,845.57 : 2,769.02 = 858.86 : x
  2. Step 2: Convert to fraction form
    1,845.57/2,769.02 = 858.86/x
  3. Step 3: Cross multiply
    1,845.57x = 2,769.02 × 858.86
  4. Step 4: Simplify right side
    1,845.57x = 2,378,182.38
  5. Step 5: Solve for x
    x = 2,378,182.38/1,845.57
  6. Step 6: Final answer
    x = 1,288.59

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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.