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Finding the Fourth Proportional to 3,273.42, 4,909.95 and 808.23

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Solution

The fourth proportional to 3,273.42, 4,909.95 and 808.23 is: 1,212.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,273.42 : 4,909.95 = 808.23 : x
  2. Step 2: Convert to fraction form
    3,273.42/4,909.95 = 808.23/x
  3. Step 3: Cross multiply
    3,273.42x = 4,909.95 × 808.23
  4. Step 4: Simplify right side
    3,273.42x = 3,968,368.89
  5. Step 5: Solve for x
    x = 3,968,368.89/3,273.42
  6. Step 6: Final answer
    x = 1,212.30

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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.