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Finding the Fourth Proportional to 2,344.66, 3,517.53 and 883.84

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Solution

The fourth proportional to 2,344.66, 3,517.53 and 883.84 is: 1,325.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,344.66 : 3,517.53 = 883.84 : x
  2. Step 2: Convert to fraction form
    2,344.66/3,517.53 = 883.84/x
  3. Step 3: Cross multiply
    2,344.66x = 3,517.53 × 883.84
  4. Step 4: Simplify right side
    2,344.66x = 3,108,933.72
  5. Step 5: Solve for x
    x = 3,108,933.72/2,344.66
  6. Step 6: Final answer
    x = 1,325.96

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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.