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Finding the Fourth Proportional to 2,219.72, 3,063.12 and 1,274.85

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Solution

The fourth proportional to 2,219.72, 3,063.12 and 1,274.85 is: 1,759.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,219.72 : 3,063.12 = 1,274.85 : x
  2. Step 2: Convert to fraction form
    2,219.72/3,063.12 = 1,274.85/x
  3. Step 3: Cross multiply
    2,219.72x = 3,063.12 × 1,274.85
  4. Step 4: Simplify right side
    2,219.72x = 3,905,018.06
  5. Step 5: Solve for x
    x = 3,905,018.06/2,219.72
  6. Step 6: Final answer
    x = 1,759.24

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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.