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Finding the Fourth Proportional to 2,456.82, 3,699.09 and 2,166.19

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Solution

The fourth proportional to 2,456.82, 3,699.09 and 2,166.19 is: 3,261.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,456.82 : 3,699.09 = 2,166.19 : x
  2. Step 2: Convert to fraction form
    2,456.82/3,699.09 = 2,166.19/x
  3. Step 3: Cross multiply
    2,456.82x = 3,699.09 × 2,166.19
  4. Step 4: Simplify right side
    2,456.82x = 8,012,935.71
  5. Step 5: Solve for x
    x = 8,012,935.71/2,456.82
  6. Step 6: Final answer
    x = 3,261.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.