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Finding the Fourth Proportional to 2,690.40, 3,709.44 and 2,191.20

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Solution

The fourth proportional to 2,690.40, 3,709.44 and 2,191.20 is: 3,021.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,690.40 : 3,709.44 = 2,191.20 : x
  2. Step 2: Convert to fraction form
    2,690.40/3,709.44 = 2,191.20/x
  3. Step 3: Cross multiply
    2,690.40x = 3,709.44 × 2,191.20
  4. Step 4: Simplify right side
    2,690.40x = 8,128,124.93
  5. Step 5: Solve for x
    x = 8,128,124.93/2,690.40
  6. Step 6: Final answer
    x = 3,021.16

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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.