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Finding the Fourth Proportional to 2,764.83, 3,812.34 and 2,017.47

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Solution

The fourth proportional to 2,764.83, 3,812.34 and 2,017.47 is: 2,781.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764.83 : 3,812.34 = 2,017.47 : x
  2. Step 2: Convert to fraction form
    2,764.83/3,812.34 = 2,017.47/x
  3. Step 3: Cross multiply
    2,764.83x = 3,812.34 × 2,017.47
  4. Step 4: Simplify right side
    2,764.83x = 7,691,281.58
  5. Step 5: Solve for x
    x = 7,691,281.58/2,764.83
  6. Step 6: Final answer
    x = 2,781.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.