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Finding the Fourth Proportional to 2,113.71, 3,170.64 and 727.02

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Solution

The fourth proportional to 2,113.71, 3,170.64 and 727.02 is: 1,090.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.71 : 3,170.64 = 727.02 : x
  2. Step 2: Convert to fraction form
    2,113.71/3,170.64 = 727.02/x
  3. Step 3: Cross multiply
    2,113.71x = 3,170.64 × 727.02
  4. Step 4: Simplify right side
    2,113.71x = 2,305,120.06
  5. Step 5: Solve for x
    x = 2,305,120.06/2,113.71
  6. Step 6: Final answer
    x = 1,090.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.