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Finding the Fourth Proportional to 2,213.91, 3,056.75 and 1,551.68

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Solution

The fourth proportional to 2,213.91, 3,056.75 and 1,551.68 is: 2,142.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,213.91 : 3,056.75 = 1,551.68 : x
  2. Step 2: Convert to fraction form
    2,213.91/3,056.75 = 1,551.68/x
  3. Step 3: Cross multiply
    2,213.91x = 3,056.75 × 1,551.68
  4. Step 4: Simplify right side
    2,213.91x = 4,743,074.80
  5. Step 5: Solve for x
    x = 4,743,074.80/2,213.91
  6. Step 6: Final answer
    x = 2,142.40

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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.