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Finding the Fourth Proportional to 1,590.27, 2,194.68 and 882.20

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Solution

The fourth proportional to 1,590.27, 2,194.68 and 882.20 is: 1,217.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590.27 : 2,194.68 = 882.20 : x
  2. Step 2: Convert to fraction form
    1,590.27/2,194.68 = 882.20/x
  3. Step 3: Cross multiply
    1,590.27x = 2,194.68 × 882.20
  4. Step 4: Simplify right side
    1,590.27x = 1,936,135.72
  5. Step 5: Solve for x
    x = 1,936,135.72/1,590.27
  6. Step 6: Final answer
    x = 1,217.49

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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.