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Finding the Fourth Proportional to 1,590.15, 2,194.46 and 927.21

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Solution

The fourth proportional to 1,590.15, 2,194.46 and 927.21 is: 1,279.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590.15 : 2,194.46 = 927.21 : x
  2. Step 2: Convert to fraction form
    1,590.15/2,194.46 = 927.21/x
  3. Step 3: Cross multiply
    1,590.15x = 2,194.46 × 927.21
  4. Step 4: Simplify right side
    1,590.15x = 2,034,720.62
  5. Step 5: Solve for x
    x = 2,034,720.62/1,590.15
  6. Step 6: Final answer
    x = 1,279.58

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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.