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Finding the Fourth Proportional to 2,861.68, 4,292.70 and 1,012.60

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Solution

The fourth proportional to 2,861.68, 4,292.70 and 1,012.60 is: 1,518.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,861.68 : 4,292.70 = 1,012.60 : x
  2. Step 2: Convert to fraction form
    2,861.68/4,292.70 = 1,012.60/x
  3. Step 3: Cross multiply
    2,861.68x = 4,292.70 × 1,012.60
  4. Step 4: Simplify right side
    2,861.68x = 4,346,788.02
  5. Step 5: Solve for x
    x = 4,346,788.02/2,861.68
  6. Step 6: Final answer
    x = 1,518.96

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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.