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Finding the Fourth Proportional to 4,469.14, 6,703.89 and 1,507.90

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Solution

The fourth proportional to 4,469.14, 6,703.89 and 1,507.90 is: 2,261.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,469.14 : 6,703.89 = 1,507.90 : x
  2. Step 2: Convert to fraction form
    4,469.14/6,703.89 = 1,507.90/x
  3. Step 3: Cross multiply
    4,469.14x = 6,703.89 × 1,507.90
  4. Step 4: Simplify right side
    4,469.14x = 10,108,795.73
  5. Step 5: Solve for x
    x = 10,108,795.73/4,469.14
  6. Step 6: Final answer
    x = 2,261.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.