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Finding the Fourth Proportional to 2,518.80, 3,476.11 and 1,524.12

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Solution

The fourth proportional to 2,518.80, 3,476.11 and 1,524.12 is: 2,103.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,518.80 : 3,476.11 = 1,524.12 : x
  2. Step 2: Convert to fraction form
    2,518.80/3,476.11 = 1,524.12/x
  3. Step 3: Cross multiply
    2,518.80x = 3,476.11 × 1,524.12
  4. Step 4: Simplify right side
    2,518.80x = 5,298,008.77
  5. Step 5: Solve for x
    x = 5,298,008.77/2,518.80
  6. Step 6: Final answer
    x = 2,103.39

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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.