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Finding the Fourth Proportional to 2,133.74, 3,200.07 and 672.77

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Solution

The fourth proportional to 2,133.74, 3,200.07 and 672.77 is: 1,008.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.74 : 3,200.07 = 672.77 : x
  2. Step 2: Convert to fraction form
    2,133.74/3,200.07 = 672.77/x
  3. Step 3: Cross multiply
    2,133.74x = 3,200.07 × 672.77
  4. Step 4: Simplify right side
    2,133.74x = 2,152,911.09
  5. Step 5: Solve for x
    x = 2,152,911.09/2,133.74
  6. Step 6: Final answer
    x = 1,008.98

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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.