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Finding the Fourth Proportional to 2,362.21, 3,541.88 and 976.46

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Solution

The fourth proportional to 2,362.21, 3,541.88 and 976.46 is: 1,464.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,362.21 : 3,541.88 = 976.46 : x
  2. Step 2: Convert to fraction form
    2,362.21/3,541.88 = 976.46/x
  3. Step 3: Cross multiply
    2,362.21x = 3,541.88 × 976.46
  4. Step 4: Simplify right side
    2,362.21x = 3,458,488.88
  5. Step 5: Solve for x
    x = 3,458,488.88/2,362.21
  6. Step 6: Final answer
    x = 1,464.09

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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.