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Finding the Fourth Proportional to 1,642.14, 2,463.84 and 992.88

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Solution

The fourth proportional to 1,642.14, 2,463.84 and 992.88 is: 1,489.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.14 : 2,463.84 = 992.88 : x
  2. Step 2: Convert to fraction form
    1,642.14/2,463.84 = 992.88/x
  3. Step 3: Cross multiply
    1,642.14x = 2,463.84 × 992.88
  4. Step 4: Simplify right side
    1,642.14x = 2,446,297.46
  5. Step 5: Solve for x
    x = 2,446,297.46/1,642.14
  6. Step 6: Final answer
    x = 1,489.70

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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.