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Finding the Fourth Proportional to 2,456.23, 3,684.80 and 813.93

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Solution

The fourth proportional to 2,456.23, 3,684.80 and 813.93 is: 1,221.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,456.23 : 3,684.80 = 813.93 : x
  2. Step 2: Convert to fraction form
    2,456.23/3,684.80 = 813.93/x
  3. Step 3: Cross multiply
    2,456.23x = 3,684.80 × 813.93
  4. Step 4: Simplify right side
    2,456.23x = 2,999,169.26
  5. Step 5: Solve for x
    x = 2,999,169.26/2,456.23
  6. Step 6: Final answer
    x = 1,221.05

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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.