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Finding the Fourth Proportional to 1,538.44, 2,308.34 and 807.85

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Solution

The fourth proportional to 1,538.44, 2,308.34 and 807.85 is: 1,212.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.44 : 2,308.34 = 807.85 : x
  2. Step 2: Convert to fraction form
    1,538.44/2,308.34 = 807.85/x
  3. Step 3: Cross multiply
    1,538.44x = 2,308.34 × 807.85
  4. Step 4: Simplify right side
    1,538.44x = 1,864,776.89
  5. Step 5: Solve for x
    x = 1,864,776.89/1,538.44
  6. Step 6: Final answer
    x = 1,212.12

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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.