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Finding the Fourth Proportional to 2,119.70, 3,179.86 and 659.00

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Solution

The fourth proportional to 2,119.70, 3,179.86 and 659.00 is: 988.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,119.70 : 3,179.86 = 659.00 : x
  2. Step 2: Convert to fraction form
    2,119.70/3,179.86 = 659.00/x
  3. Step 3: Cross multiply
    2,119.70x = 3,179.86 × 659.00
  4. Step 4: Simplify right side
    2,119.70x = 2,095,534.04
  5. Step 5: Solve for x
    x = 2,095,534.04/2,119.70
  6. Step 6: Final answer
    x = 988.60

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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.