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Finding the Fourth Proportional to 2,165.74, 3,247.71 and 778.66

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Solution

The fourth proportional to 2,165.74, 3,247.71 and 778.66 is: 1,167.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.74 : 3,247.71 = 778.66 : x
  2. Step 2: Convert to fraction form
    2,165.74/3,247.71 = 778.66/x
  3. Step 3: Cross multiply
    2,165.74x = 3,247.71 × 778.66
  4. Step 4: Simplify right side
    2,165.74x = 2,528,861.87
  5. Step 5: Solve for x
    x = 2,528,861.87/2,165.74
  6. Step 6: Final answer
    x = 1,167.67

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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.