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Finding the Fourth Proportional to 2,219.55, 3,062.88 and 1,224.78

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Solution

The fourth proportional to 2,219.55, 3,062.88 and 1,224.78 is: 1,690.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,219.55 : 3,062.88 = 1,224.78 : x
  2. Step 2: Convert to fraction form
    2,219.55/3,062.88 = 1,224.78/x
  3. Step 3: Cross multiply
    2,219.55x = 3,062.88 × 1,224.78
  4. Step 4: Simplify right side
    2,219.55x = 3,751,354.17
  5. Step 5: Solve for x
    x = 3,751,354.17/2,219.55
  6. Step 6: Final answer
    x = 1,690.14

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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.