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Finding the Fourth Proportional to 2,436.08, 3,653.16 and 974.96

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Solution

The fourth proportional to 2,436.08, 3,653.16 and 974.96 is: 1,462.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,436.08 : 3,653.16 = 974.96 : x
  2. Step 2: Convert to fraction form
    2,436.08/3,653.16 = 974.96/x
  3. Step 3: Cross multiply
    2,436.08x = 3,653.16 × 974.96
  4. Step 4: Simplify right side
    2,436.08x = 3,561,684.87
  5. Step 5: Solve for x
    x = 3,561,684.87/2,436.08
  6. Step 6: Final answer
    x = 1,462.06

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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.