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Finding the Fourth Proportional to 2,363.83, 3,542.94 and 976.48

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Solution

The fourth proportional to 2,363.83, 3,542.94 and 976.48 is: 1,463.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,363.83 : 3,542.94 = 976.48 : x
  2. Step 2: Convert to fraction form
    2,363.83/3,542.94 = 976.48/x
  3. Step 3: Cross multiply
    2,363.83x = 3,542.94 × 976.48
  4. Step 4: Simplify right side
    2,363.83x = 3,459,610.05
  5. Step 5: Solve for x
    x = 3,459,610.05/2,363.83
  6. Step 6: Final answer
    x = 1,463.56

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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.