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Finding the Fourth Proportional to 2,536.48, 3,804.69 and 805.11

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Solution

The fourth proportional to 2,536.48, 3,804.69 and 805.11 is: 1,207.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,536.48 : 3,804.69 = 805.11 : x
  2. Step 2: Convert to fraction form
    2,536.48/3,804.69 = 805.11/x
  3. Step 3: Cross multiply
    2,536.48x = 3,804.69 × 805.11
  4. Step 4: Simplify right side
    2,536.48x = 3,063,193.97
  5. Step 5: Solve for x
    x = 3,063,193.97/2,536.48
  6. Step 6: Final answer
    x = 1,207.66

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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.