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Finding the Fourth Proportional to 2,333.85, 3,496.14 and 1,512.69

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Solution

The fourth proportional to 2,333.85, 3,496.14 and 1,512.69 is: 2,266.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,333.85 : 3,496.14 = 1,512.69 : x
  2. Step 2: Convert to fraction form
    2,333.85/3,496.14 = 1,512.69/x
  3. Step 3: Cross multiply
    2,333.85x = 3,496.14 × 1,512.69
  4. Step 4: Simplify right side
    2,333.85x = 5,288,576.02
  5. Step 5: Solve for x
    x = 5,288,576.02/2,333.85
  6. Step 6: Final answer
    x = 2,266.03

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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.