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Finding the Fourth Proportional to 2,539.82, 3,810.33 and 808.45

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Solution

The fourth proportional to 2,539.82, 3,810.33 and 808.45 is: 1,212.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,539.82 : 3,810.33 = 808.45 : x
  2. Step 2: Convert to fraction form
    2,539.82/3,810.33 = 808.45/x
  3. Step 3: Cross multiply
    2,539.82x = 3,810.33 × 808.45
  4. Step 4: Simplify right side
    2,539.82x = 3,080,461.29
  5. Step 5: Solve for x
    x = 3,080,461.29/2,539.82
  6. Step 6: Final answer
    x = 1,212.87

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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.