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Finding the Fourth Proportional to 1,590.31, 2,194.73 and 891.69

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Solution

The fourth proportional to 1,590.31, 2,194.73 and 891.69 is: 1,230.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590.31 : 2,194.73 = 891.69 : x
  2. Step 2: Convert to fraction form
    1,590.31/2,194.73 = 891.69/x
  3. Step 3: Cross multiply
    1,590.31x = 2,194.73 × 891.69
  4. Step 4: Simplify right side
    1,590.31x = 1,957,018.79
  5. Step 5: Solve for x
    x = 1,957,018.79/1,590.31
  6. Step 6: Final answer
    x = 1,230.59

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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.