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Finding the Fourth Proportional to 2,885.47, 3,982.37 and 1,766.22

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Solution

The fourth proportional to 2,885.47, 3,982.37 and 1,766.22 is: 2,437.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,885.47 : 3,982.37 = 1,766.22 : x
  2. Step 2: Convert to fraction form
    2,885.47/3,982.37 = 1,766.22/x
  3. Step 3: Cross multiply
    2,885.47x = 3,982.37 × 1,766.22
  4. Step 4: Simplify right side
    2,885.47x = 7,033,740.18
  5. Step 5: Solve for x
    x = 7,033,740.18/2,885.47
  6. Step 6: Final answer
    x = 2,437.64

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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.