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Finding the Fourth Proportional to 2,861.03, 4,290.45 and 1,011.80

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Solution

The fourth proportional to 2,861.03, 4,290.45 and 1,011.80 is: 1,517.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,861.03 : 4,290.45 = 1,011.80 : x
  2. Step 2: Convert to fraction form
    2,861.03/4,290.45 = 1,011.80/x
  3. Step 3: Cross multiply
    2,861.03x = 4,290.45 × 1,011.80
  4. Step 4: Simplify right side
    2,861.03x = 4,341,077.31
  5. Step 5: Solve for x
    x = 4,341,077.31/2,861.03
  6. Step 6: Final answer
    x = 1,517.31

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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.