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Finding the Fourth Proportional to 2,521.71, 3,782.46 and 672.88

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Solution

The fourth proportional to 2,521.71, 3,782.46 and 672.88 is: 1,009.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,521.71 : 3,782.46 = 672.88 : x
  2. Step 2: Convert to fraction form
    2,521.71/3,782.46 = 672.88/x
  3. Step 3: Cross multiply
    2,521.71x = 3,782.46 × 672.88
  4. Step 4: Simplify right side
    2,521.71x = 2,545,141.68
  5. Step 5: Solve for x
    x = 2,545,141.68/2,521.71
  6. Step 6: Final answer
    x = 1,009.29

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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.