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Finding the Fourth Proportional to 2,781.83, 4,173.33 and 807.46

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Solution

The fourth proportional to 2,781.83, 4,173.33 and 807.46 is: 1,211.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781.83 : 4,173.33 = 807.46 : x
  2. Step 2: Convert to fraction form
    2,781.83/4,173.33 = 807.46/x
  3. Step 3: Cross multiply
    2,781.83x = 4,173.33 × 807.46
  4. Step 4: Simplify right side
    2,781.83x = 3,369,797.04
  5. Step 5: Solve for x
    x = 3,369,797.04/2,781.83
  6. Step 6: Final answer
    x = 1,211.36

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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.