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Finding the Fourth Proportional to 2,536.80, 3,805.47 and 805.02

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Solution

The fourth proportional to 2,536.80, 3,805.47 and 805.02 is: 1,207.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,536.80 : 3,805.47 = 805.02 : x
  2. Step 2: Convert to fraction form
    2,536.80/3,805.47 = 805.02/x
  3. Step 3: Cross multiply
    2,536.80x = 3,805.47 × 805.02
  4. Step 4: Simplify right side
    2,536.80x = 3,063,479.46
  5. Step 5: Solve for x
    x = 3,063,479.46/2,536.80
  6. Step 6: Final answer
    x = 1,207.62

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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.