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Finding the Fourth Proportional to 2,461.46, 3,692.25 and 1,372.77

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Solution

The fourth proportional to 2,461.46, 3,692.25 and 1,372.77 is: 2,059.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,461.46 : 3,692.25 = 1,372.77 : x
  2. Step 2: Convert to fraction form
    2,461.46/3,692.25 = 1,372.77/x
  3. Step 3: Cross multiply
    2,461.46x = 3,692.25 × 1,372.77
  4. Step 4: Simplify right side
    2,461.46x = 5,068,610.03
  5. Step 5: Solve for x
    x = 5,068,610.03/2,461.46
  6. Step 6: Final answer
    x = 2,059.19

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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.