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Finding the Fourth Proportional to 1,590.33, 2,194.68 and 960.86

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Solution

The fourth proportional to 1,590.33, 2,194.68 and 960.86 is: 1,325.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590.33 : 2,194.68 = 960.86 : x
  2. Step 2: Convert to fraction form
    1,590.33/2,194.68 = 960.86/x
  3. Step 3: Cross multiply
    1,590.33x = 2,194.68 × 960.86
  4. Step 4: Simplify right side
    1,590.33x = 2,108,769.25
  5. Step 5: Solve for x
    x = 2,108,769.25/1,590.33
  6. Step 6: Final answer
    x = 1,325.99

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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.