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Finding the Fourth Proportional to 2,164.34, 3,246.08 and 994.02

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Solution

The fourth proportional to 2,164.34, 3,246.08 and 994.02 is: 1,490.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.34 : 3,246.08 = 994.02 : x
  2. Step 2: Convert to fraction form
    2,164.34/3,246.08 = 994.02/x
  3. Step 3: Cross multiply
    2,164.34x = 3,246.08 × 994.02
  4. Step 4: Simplify right side
    2,164.34x = 3,226,663.47
  5. Step 5: Solve for x
    x = 3,226,663.47/2,164.34
  6. Step 6: Final answer
    x = 1,490.83

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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.