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Finding the Fourth Proportional to 2,536.50, 3,805.47 and 805.17

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Solution

The fourth proportional to 2,536.50, 3,805.47 and 805.17 is: 1,207.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,536.50 : 3,805.47 = 805.17 : x
  2. Step 2: Convert to fraction form
    2,536.50/3,805.47 = 805.17/x
  3. Step 3: Cross multiply
    2,536.50x = 3,805.47 × 805.17
  4. Step 4: Simplify right side
    2,536.50x = 3,064,050.28
  5. Step 5: Solve for x
    x = 3,064,050.28/2,536.50
  6. Step 6: Final answer
    x = 1,207.98

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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.