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Finding the Fourth Proportional to 1,538.62, 2,309.16 and 808.62

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Solution

The fourth proportional to 1,538.62, 2,309.16 and 808.62 is: 1,213.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.62 : 2,309.16 = 808.62 : x
  2. Step 2: Convert to fraction form
    1,538.62/2,309.16 = 808.62/x
  3. Step 3: Cross multiply
    1,538.62x = 2,309.16 × 808.62
  4. Step 4: Simplify right side
    1,538.62x = 1,867,232.96
  5. Step 5: Solve for x
    x = 1,867,232.96/1,538.62
  6. Step 6: Final answer
    x = 1,213.58

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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.