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Finding the Fourth Proportional to 2,362.38, 3,542.26 and 976.66

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Solution

The fourth proportional to 2,362.38, 3,542.26 and 976.66 is: 1,464.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,362.38 : 3,542.26 = 976.66 : x
  2. Step 2: Convert to fraction form
    2,362.38/3,542.26 = 976.66/x
  3. Step 3: Cross multiply
    2,362.38x = 3,542.26 × 976.66
  4. Step 4: Simplify right side
    2,362.38x = 3,459,583.65
  5. Step 5: Solve for x
    x = 3,459,583.65/2,362.38
  6. Step 6: Final answer
    x = 1,464.45

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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.