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Finding the Fourth Proportional to 2,462.08, 3,690.42 and 1,366.06

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Solution

The fourth proportional to 2,462.08, 3,690.42 and 1,366.06 is: 2,047.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.08 : 3,690.42 = 1,366.06 : x
  2. Step 2: Convert to fraction form
    2,462.08/3,690.42 = 1,366.06/x
  3. Step 3: Cross multiply
    2,462.08x = 3,690.42 × 1,366.06
  4. Step 4: Simplify right side
    2,462.08x = 5,041,335.15
  5. Step 5: Solve for x
    x = 5,041,335.15/2,462.08
  6. Step 6: Final answer
    x = 2,047.59

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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.