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Finding the Fourth Proportional to 2,536.72, 3,807.24 and 1,808.08

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Solution

The fourth proportional to 2,536.72, 3,807.24 and 1,808.08 is: 2,713.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,536.72 : 3,807.24 = 1,808.08 : x
  2. Step 2: Convert to fraction form
    2,536.72/3,807.24 = 1,808.08/x
  3. Step 3: Cross multiply
    2,536.72x = 3,807.24 × 1,808.08
  4. Step 4: Simplify right side
    2,536.72x = 6,883,794.50
  5. Step 5: Solve for x
    x = 6,883,794.50/2,536.72
  6. Step 6: Final answer
    x = 2,713.66

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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.