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Finding the Fourth Proportional to 2,344.70, 3,517.56 and 883.86

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Solution

The fourth proportional to 2,344.70, 3,517.56 and 883.86 is: 1,325.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,344.70 : 3,517.56 = 883.86 : x
  2. Step 2: Convert to fraction form
    2,344.70/3,517.56 = 883.86/x
  3. Step 3: Cross multiply
    2,344.70x = 3,517.56 × 883.86
  4. Step 4: Simplify right side
    2,344.70x = 3,109,030.58
  5. Step 5: Solve for x
    x = 3,109,030.58/2,344.70
  6. Step 6: Final answer
    x = 1,325.99

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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.