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Finding the Fourth Proportional to 2,861.64, 4,292.61 and 913.69

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Solution

The fourth proportional to 2,861.64, 4,292.61 and 913.69 is: 1,370.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,861.64 : 4,292.61 = 913.69 : x
  2. Step 2: Convert to fraction form
    2,861.64/4,292.61 = 913.69/x
  3. Step 3: Cross multiply
    2,861.64x = 4,292.61 × 913.69
  4. Step 4: Simplify right side
    2,861.64x = 3,922,104.10
  5. Step 5: Solve for x
    x = 3,922,104.10/2,861.64
  6. Step 6: Final answer
    x = 1,370.58

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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.