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Finding the Fourth Proportional to 2,460.41, 3,692.23 and 1,162.01

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Solution

The fourth proportional to 2,460.41, 3,692.23 and 1,162.01 is: 1,743.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,460.41 : 3,692.23 = 1,162.01 : x
  2. Step 2: Convert to fraction form
    2,460.41/3,692.23 = 1,162.01/x
  3. Step 3: Cross multiply
    2,460.41x = 3,692.23 × 1,162.01
  4. Step 4: Simplify right side
    2,460.41x = 4,290,389.72
  5. Step 5: Solve for x
    x = 4,290,389.72/2,460.41
  6. Step 6: Final answer
    x = 1,743.77

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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.