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Finding the Fourth Proportional to 2,461.37, 3,692.37 and 795.56

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Solution

The fourth proportional to 2,461.37, 3,692.37 and 795.56 is: 1,193.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,461.37 : 3,692.37 = 795.56 : x
  2. Step 2: Convert to fraction form
    2,461.37/3,692.37 = 795.56/x
  3. Step 3: Cross multiply
    2,461.37x = 3,692.37 × 795.56
  4. Step 4: Simplify right side
    2,461.37x = 2,937,501.88
  5. Step 5: Solve for x
    x = 2,937,501.88/2,461.37
  6. Step 6: Final answer
    x = 1,193.44

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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.