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Finding the Fourth Proportional to 2,363.27, 3,544.79 and 976.20

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Solution

The fourth proportional to 2,363.27, 3,544.79 and 976.20 is: 1,464.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,363.27 : 3,544.79 = 976.20 : x
  2. Step 2: Convert to fraction form
    2,363.27/3,544.79 = 976.20/x
  3. Step 3: Cross multiply
    2,363.27x = 3,544.79 × 976.20
  4. Step 4: Simplify right side
    2,363.27x = 3,460,419.12
  5. Step 5: Solve for x
    x = 3,460,419.12/2,363.27
  6. Step 6: Final answer
    x = 1,464.25

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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.