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Finding the Fourth Proportional to 2,461.44, 3,692.22 and 1,372.74

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Solution

The fourth proportional to 2,461.44, 3,692.22 and 1,372.74 is: 2,059.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,461.44 : 3,692.22 = 1,372.74 : x
  2. Step 2: Convert to fraction form
    2,461.44/3,692.22 = 1,372.74/x
  3. Step 3: Cross multiply
    2,461.44x = 3,692.22 × 1,372.74
  4. Step 4: Simplify right side
    2,461.44x = 5,068,458.08
  5. Step 5: Solve for x
    x = 5,068,458.08/2,461.44
  6. Step 6: Final answer
    x = 2,059.14

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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.