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Finding the Fourth Proportional to 2,861.60, 4,292.24 and 913.80

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Solution

The fourth proportional to 2,861.60, 4,292.24 and 913.80 is: 1,370.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,861.60 : 4,292.24 = 913.80 : x
  2. Step 2: Convert to fraction form
    2,861.60/4,292.24 = 913.80/x
  3. Step 3: Cross multiply
    2,861.60x = 4,292.24 × 913.80
  4. Step 4: Simplify right side
    2,861.60x = 3,922,244.34
  5. Step 5: Solve for x
    x = 3,922,244.34/2,861.60
  6. Step 6: Final answer
    x = 1,370.65

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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.