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Finding the Fourth Proportional to 1,590.24, 2,194.60 and 891.68

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Solution

The fourth proportional to 1,590.24, 2,194.60 and 891.68 is: 1,230.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590.24 : 2,194.60 = 891.68 : x
  2. Step 2: Convert to fraction form
    1,590.24/2,194.60 = 891.68/x
  3. Step 3: Cross multiply
    1,590.24x = 2,194.60 × 891.68
  4. Step 4: Simplify right side
    1,590.24x = 1,956,880.93
  5. Step 5: Solve for x
    x = 1,956,880.93/1,590.24
  6. Step 6: Final answer
    x = 1,230.56

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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.