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Finding the Fourth Proportional to 1,721.42, 2,582.14 and 422.88

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Solution

The fourth proportional to 1,721.42, 2,582.14 and 422.88 is: 634.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,721.42 : 2,582.14 = 422.88 : x
  2. Step 2: Convert to fraction form
    1,721.42/2,582.14 = 422.88/x
  3. Step 3: Cross multiply
    1,721.42x = 2,582.14 × 422.88
  4. Step 4: Simplify right side
    1,721.42x = 1,091,935.36
  5. Step 5: Solve for x
    x = 1,091,935.36/1,721.42
  6. Step 6: Final answer
    x = 634.32

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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.