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Finding the Fourth Proportional to 2,214.53, 3,056.09 and 1,219.80

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Solution

The fourth proportional to 2,214.53, 3,056.09 and 1,219.80 is: 1,683.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214.53 : 3,056.09 = 1,219.80 : x
  2. Step 2: Convert to fraction form
    2,214.53/3,056.09 = 1,219.80/x
  3. Step 3: Cross multiply
    2,214.53x = 3,056.09 × 1,219.80
  4. Step 4: Simplify right side
    2,214.53x = 3,727,813.61
  5. Step 5: Solve for x
    x = 3,727,813.61/2,214.53
  6. Step 6: Final answer
    x = 1,683.34

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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.