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Finding the Fourth Proportional to 2,456.19, 3,684.97 and 813.89

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Solution

The fourth proportional to 2,456.19, 3,684.97 and 813.89 is: 1,221.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,456.19 : 3,684.97 = 813.89 : x
  2. Step 2: Convert to fraction form
    2,456.19/3,684.97 = 813.89/x
  3. Step 3: Cross multiply
    2,456.19x = 3,684.97 × 813.89
  4. Step 4: Simplify right side
    2,456.19x = 2,999,156.16
  5. Step 5: Solve for x
    x = 2,999,156.16/2,456.19
  6. Step 6: Final answer
    x = 1,221.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.