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Finding the Fourth Proportional to 2,461.97, 3,677.73 and 2,214.79

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Solution

The fourth proportional to 2,461.97, 3,677.73 and 2,214.79 is: 3,308.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,461.97 : 3,677.73 = 2,214.79 : x
  2. Step 2: Convert to fraction form
    2,461.97/3,677.73 = 2,214.79/x
  3. Step 3: Cross multiply
    2,461.97x = 3,677.73 × 2,214.79
  4. Step 4: Simplify right side
    2,461.97x = 8,145,409.04
  5. Step 5: Solve for x
    x = 8,145,409.04/2,461.97
  6. Step 6: Final answer
    x = 3,308.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.