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Finding the Fourth Proportional to 2,169.72, 2,994.16 and 1,225.56

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Solution

The fourth proportional to 2,169.72, 2,994.16 and 1,225.56 is: 1,691.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169.72 : 2,994.16 = 1,225.56 : x
  2. Step 2: Convert to fraction form
    2,169.72/2,994.16 = 1,225.56/x
  3. Step 3: Cross multiply
    2,169.72x = 2,994.16 × 1,225.56
  4. Step 4: Simplify right side
    2,169.72x = 3,669,522.73
  5. Step 5: Solve for x
    x = 3,669,522.73/2,169.72
  6. Step 6: Final answer
    x = 1,691.24

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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.