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Finding the Fourth Proportional to 2,486.41, 3,429.24 and 2,187.02

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Solution

The fourth proportional to 2,486.41, 3,429.24 and 2,187.02 is: 3,016.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,486.41 : 3,429.24 = 2,187.02 : x
  2. Step 2: Convert to fraction form
    2,486.41/3,429.24 = 2,187.02/x
  3. Step 3: Cross multiply
    2,486.41x = 3,429.24 × 2,187.02
  4. Step 4: Simplify right side
    2,486.41x = 7,499,816.46
  5. Step 5: Solve for x
    x = 7,499,816.46/2,486.41
  6. Step 6: Final answer
    x = 3,016.32

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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.