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Finding the Fourth Proportional to 2,214.54, 3,056.03 and 1,219.82

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Solution

The fourth proportional to 2,214.54, 3,056.03 and 1,219.82 is: 1,683.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214.54 : 3,056.03 = 1,219.82 : x
  2. Step 2: Convert to fraction form
    2,214.54/3,056.03 = 1,219.82/x
  3. Step 3: Cross multiply
    2,214.54x = 3,056.03 × 1,219.82
  4. Step 4: Simplify right side
    2,214.54x = 3,727,785.14
  5. Step 5: Solve for x
    x = 3,727,785.14/2,214.54
  6. Step 6: Final answer
    x = 1,683.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.