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Finding the Fourth Proportional to 2,420.06, 3,630.60 and 860.30

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Solution

The fourth proportional to 2,420.06, 3,630.60 and 860.30 is: 1,290.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,420.06 : 3,630.60 = 860.30 : x
  2. Step 2: Convert to fraction form
    2,420.06/3,630.60 = 860.30/x
  3. Step 3: Cross multiply
    2,420.06x = 3,630.60 × 860.30
  4. Step 4: Simplify right side
    2,420.06x = 3,123,405.18
  5. Step 5: Solve for x
    x = 3,123,405.18/2,420.06
  6. Step 6: Final answer
    x = 1,290.63

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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.