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Finding the Fourth Proportional to 2,414.93, 3,624.02 and 854.93

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Solution

The fourth proportional to 2,414.93, 3,624.02 and 854.93 is: 1,282.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,414.93 : 3,624.02 = 854.93 : x
  2. Step 2: Convert to fraction form
    2,414.93/3,624.02 = 854.93/x
  3. Step 3: Cross multiply
    2,414.93x = 3,624.02 × 854.93
  4. Step 4: Simplify right side
    2,414.93x = 3,098,274.36
  5. Step 5: Solve for x
    x = 3,098,274.36/2,414.93
  6. Step 6: Final answer
    x = 1,282.97

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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.