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Finding the Fourth Proportional to 2,333.62, 3,516.49 and 1,931.78

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Solution

The fourth proportional to 2,333.62, 3,516.49 and 1,931.78 is: 2,910.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,333.62 : 3,516.49 = 1,931.78 : x
  2. Step 2: Convert to fraction form
    2,333.62/3,516.49 = 1,931.78/x
  3. Step 3: Cross multiply
    2,333.62x = 3,516.49 × 1,931.78
  4. Step 4: Simplify right side
    2,333.62x = 6,793,085.05
  5. Step 5: Solve for x
    x = 6,793,085.05/2,333.62
  6. Step 6: Final answer
    x = 2,910.96

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.