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Finding the Fourth Proportional to 1,590.92, 2,195.40 and 961.60

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Solution

The fourth proportional to 1,590.92, 2,195.40 and 961.60 is: 1,326.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590.92 : 2,195.40 = 961.60 : x
  2. Step 2: Convert to fraction form
    1,590.92/2,195.40 = 961.60/x
  3. Step 3: Cross multiply
    1,590.92x = 2,195.40 × 961.60
  4. Step 4: Simplify right side
    1,590.92x = 2,111,096.64
  5. Step 5: Solve for x
    x = 2,111,096.64/1,590.92
  6. Step 6: Final answer
    x = 1,326.97

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