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Finding the Fourth Proportional to 1,245.76, 1,871.10 and 1,211.80

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Solution

The fourth proportional to 1,245.76, 1,871.10 and 1,211.80 is: 1,820.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245.76 : 1,871.10 = 1,211.80 : x
  2. Step 2: Convert to fraction form
    1,245.76/1,871.10 = 1,211.80/x
  3. Step 3: Cross multiply
    1,245.76x = 1,871.10 × 1,211.80
  4. Step 4: Simplify right side
    1,245.76x = 2,267,398.98
  5. Step 5: Solve for x
    x = 2,267,398.98/1,245.76
  6. Step 6: Final answer
    x = 1,820.09

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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.