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Finding the Fourth Proportional to 2,332.11, 3,497.26 and 771.85

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Solution

The fourth proportional to 2,332.11, 3,497.26 and 771.85 is: 1,157.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,332.11 : 3,497.26 = 771.85 : x
  2. Step 2: Convert to fraction form
    2,332.11/3,497.26 = 771.85/x
  3. Step 3: Cross multiply
    2,332.11x = 3,497.26 × 771.85
  4. Step 4: Simplify right side
    2,332.11x = 2,699,360.13
  5. Step 5: Solve for x
    x = 2,699,360.13/2,332.11
  6. Step 6: Final answer
    x = 1,157.48

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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.