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Finding the Fourth Proportional to 1,814.13, 2,721.26 and 644.32

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Solution

The fourth proportional to 1,814.13, 2,721.26 and 644.32 is: 966.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,814.13 : 2,721.26 = 644.32 : x
  2. Step 2: Convert to fraction form
    1,814.13/2,721.26 = 644.32/x
  3. Step 3: Cross multiply
    1,814.13x = 2,721.26 × 644.32
  4. Step 4: Simplify right side
    1,814.13x = 1,753,362.24
  5. Step 5: Solve for x
    x = 1,753,362.24/1,814.13
  6. Step 6: Final answer
    x = 966.50

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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.