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Finding the Fourth Proportional to 2,475.27, 3,727.60 and 2,154.51

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Solution

The fourth proportional to 2,475.27, 3,727.60 and 2,154.51 is: 3,244.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,475.27 : 3,727.60 = 2,154.51 : x
  2. Step 2: Convert to fraction form
    2,475.27/3,727.60 = 2,154.51/x
  3. Step 3: Cross multiply
    2,475.27x = 3,727.60 × 2,154.51
  4. Step 4: Simplify right side
    2,475.27x = 8,031,146.09
  5. Step 5: Solve for x
    x = 8,031,146.09/2,475.27
  6. Step 6: Final answer
    x = 3,244.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.