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Finding the Fourth Proportional to 2,420.55, 3,631.10 and 860.22

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Solution

The fourth proportional to 2,420.55, 3,631.10 and 860.22 is: 1,290.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,420.55 : 3,631.10 = 860.22 : x
  2. Step 2: Convert to fraction form
    2,420.55/3,631.10 = 860.22/x
  3. Step 3: Cross multiply
    2,420.55x = 3,631.10 × 860.22
  4. Step 4: Simplify right side
    2,420.55x = 3,123,540.54
  5. Step 5: Solve for x
    x = 3,123,540.54/2,420.55
  6. Step 6: Final answer
    x = 1,290.43

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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.