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Finding the Fourth Proportional to 2,365.34, 3,552.46 and 2,261.66

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Solution

The fourth proportional to 2,365.34, 3,552.46 and 2,261.66 is: 3,396.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,365.34 : 3,552.46 = 2,261.66 : x
  2. Step 2: Convert to fraction form
    2,365.34/3,552.46 = 2,261.66/x
  3. Step 3: Cross multiply
    2,365.34x = 3,552.46 × 2,261.66
  4. Step 4: Simplify right side
    2,365.34x = 8,034,433.27
  5. Step 5: Solve for x
    x = 8,034,433.27/2,365.34
  6. Step 6: Final answer
    x = 3,396.74

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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.