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Finding the Fourth Proportional to 2,362.86, 3,541.21 and 974.79

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Solution

The fourth proportional to 2,362.86, 3,541.21 and 974.79 is: 1,460.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,362.86 : 3,541.21 = 974.79 : x
  2. Step 2: Convert to fraction form
    2,362.86/3,541.21 = 974.79/x
  3. Step 3: Cross multiply
    2,362.86x = 3,541.21 × 974.79
  4. Step 4: Simplify right side
    2,362.86x = 3,451,933.66
  5. Step 5: Solve for x
    x = 3,451,933.66/2,362.86
  6. Step 6: Final answer
    x = 1,460.91

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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.