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Finding the Fourth Proportional to 2,034.82, 2,808.84 and 1,502.79

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Solution

The fourth proportional to 2,034.82, 2,808.84 and 1,502.79 is: 2,074.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.82 : 2,808.84 = 1,502.79 : x
  2. Step 2: Convert to fraction form
    2,034.82/2,808.84 = 1,502.79/x
  3. Step 3: Cross multiply
    2,034.82x = 2,808.84 × 1,502.79
  4. Step 4: Simplify right side
    2,034.82x = 4,221,096.66
  5. Step 5: Solve for x
    x = 4,221,096.66/2,034.82
  6. Step 6: Final answer
    x = 2,074.43

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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.