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Finding the Fourth Proportional to 2,214.55, 3,056.11 and 1,219.82

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Solution

The fourth proportional to 2,214.55, 3,056.11 and 1,219.82 is: 1,683.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214.55 : 3,056.11 = 1,219.82 : x
  2. Step 2: Convert to fraction form
    2,214.55/3,056.11 = 1,219.82/x
  3. Step 3: Cross multiply
    2,214.55x = 3,056.11 × 1,219.82
  4. Step 4: Simplify right side
    2,214.55x = 3,727,904.10
  5. Step 5: Solve for x
    x = 3,727,904.10/2,214.55
  6. Step 6: Final answer
    x = 1,683.37

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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.