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Finding the Fourth Proportional to 1,591.90, 2,196.98 and 919.74

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Solution

The fourth proportional to 1,591.90, 2,196.98 and 919.74 is: 1,269.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,591.90 : 2,196.98 = 919.74 : x
  2. Step 2: Convert to fraction form
    1,591.90/2,196.98 = 919.74/x
  3. Step 3: Cross multiply
    1,591.90x = 2,196.98 × 919.74
  4. Step 4: Simplify right side
    1,591.90x = 2,020,650.39
  5. Step 5: Solve for x
    x = 2,020,650.39/1,591.90
  6. Step 6: Final answer
    x = 1,269.33

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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.