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Finding the Fourth Proportional to 2,700.78, 3,727.14 and 1,521.84

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Solution

The fourth proportional to 2,700.78, 3,727.14 and 1,521.84 is: 2,100.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,700.78 : 3,727.14 = 1,521.84 : x
  2. Step 2: Convert to fraction form
    2,700.78/3,727.14 = 1,521.84/x
  3. Step 3: Cross multiply
    2,700.78x = 3,727.14 × 1,521.84
  4. Step 4: Simplify right side
    2,700.78x = 5,672,110.74
  5. Step 5: Solve for x
    x = 5,672,110.74/2,700.78
  6. Step 6: Final answer
    x = 2,100.18

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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.