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Finding the Fourth Proportional to 2,412.66, 3,321.03 and 2,101.62

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Solution

The fourth proportional to 2,412.66, 3,321.03 and 2,101.62 is: 2,892.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,412.66 : 3,321.03 = 2,101.62 : x
  2. Step 2: Convert to fraction form
    2,412.66/3,321.03 = 2,101.62/x
  3. Step 3: Cross multiply
    2,412.66x = 3,321.03 × 2,101.62
  4. Step 4: Simplify right side
    2,412.66x = 6,979,543.07
  5. Step 5: Solve for x
    x = 6,979,543.07/2,412.66
  6. Step 6: Final answer
    x = 2,892.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.