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Finding the Fourth Proportional to 2,331.86, 3,497.62 and 771.70

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Solution

The fourth proportional to 2,331.86, 3,497.62 and 771.70 is: 1,157.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,331.86 : 3,497.62 = 771.70 : x
  2. Step 2: Convert to fraction form
    2,331.86/3,497.62 = 771.70/x
  3. Step 3: Cross multiply
    2,331.86x = 3,497.62 × 771.70
  4. Step 4: Simplify right side
    2,331.86x = 2,699,113.35
  5. Step 5: Solve for x
    x = 2,699,113.35/2,331.86
  6. Step 6: Final answer
    x = 1,157.49

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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.