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Finding the Fourth Proportional to 2,316.93, 3,472.97 and 855.15

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Solution

The fourth proportional to 2,316.93, 3,472.97 and 855.15 is: 1,281.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,316.93 : 3,472.97 = 855.15 : x
  2. Step 2: Convert to fraction form
    2,316.93/3,472.97 = 855.15/x
  3. Step 3: Cross multiply
    2,316.93x = 3,472.97 × 855.15
  4. Step 4: Simplify right side
    2,316.93x = 2,969,906.02
  5. Step 5: Solve for x
    x = 2,969,906.02/2,316.93
  6. Step 6: Final answer
    x = 1,281.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.