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Finding the Fourth Proportional to 2,218.35, 3,061.35 and 1,223.62

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Solution

The fourth proportional to 2,218.35, 3,061.35 and 1,223.62 is: 1,688.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,218.35 : 3,061.35 = 1,223.62 : x
  2. Step 2: Convert to fraction form
    2,218.35/3,061.35 = 1,223.62/x
  3. Step 3: Cross multiply
    2,218.35x = 3,061.35 × 1,223.62
  4. Step 4: Simplify right side
    2,218.35x = 3,745,942.10
  5. Step 5: Solve for x
    x = 3,745,942.10/2,218.35
  6. Step 6: Final answer
    x = 1,688.62

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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.