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Finding the Fourth Proportional to 3,109, 4,659.70 and 1,463.36

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Solution

The fourth proportional to 3,109, 4,659.70 and 1,463.36 is: 2,193.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109 : 4,659.70 = 1,463.36 : x
  2. Step 2: Convert to fraction form
    3,109/4,659.70 = 1,463.36/x
  3. Step 3: Cross multiply
    3,109x = 4,659.70 × 1,463.36
  4. Step 4: Simplify right side
    3,109x = 6,818,818.59
  5. Step 5: Solve for x
    x = 6,818,818.59/3,109
  6. Step 6: Final answer
    x = 2,193.25

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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.