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Finding the Fourth Proportional to 2,134.11, 3,200.75 and 672.87

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Solution

The fourth proportional to 2,134.11, 3,200.75 and 672.87 is: 1,009.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.11 : 3,200.75 = 672.87 : x
  2. Step 2: Convert to fraction form
    2,134.11/3,200.75 = 672.87/x
  3. Step 3: Cross multiply
    2,134.11x = 3,200.75 × 672.87
  4. Step 4: Simplify right side
    2,134.11x = 2,153,674.33
  5. Step 5: Solve for x
    x = 2,153,674.33/2,134.11
  6. Step 6: Final answer
    x = 1,009.17

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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.