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Finding the Fourth Proportional to 3,233.90, 4,841.40 and 2,415.80

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Solution

The fourth proportional to 3,233.90, 4,841.40 and 2,415.80 is: 3,616.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,233.90 : 4,841.40 = 2,415.80 : x
  2. Step 2: Convert to fraction form
    3,233.90/4,841.40 = 2,415.80/x
  3. Step 3: Cross multiply
    3,233.90x = 4,841.40 × 2,415.80
  4. Step 4: Simplify right side
    3,233.90x = 11,695,854.12
  5. Step 5: Solve for x
    x = 11,695,854.12/3,233.90
  6. Step 6: Final answer
    x = 3,616.64

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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.