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Finding the Fourth Proportional to 2,128.06, 3,192.63 and 974.62

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Solution

The fourth proportional to 2,128.06, 3,192.63 and 974.62 is: 1,462.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.06 : 3,192.63 = 974.62 : x
  2. Step 2: Convert to fraction form
    2,128.06/3,192.63 = 974.62/x
  3. Step 3: Cross multiply
    2,128.06x = 3,192.63 × 974.62
  4. Step 4: Simplify right side
    2,128.06x = 3,111,601.05
  5. Step 5: Solve for x
    x = 3,111,601.05/2,128.06
  6. Step 6: Final answer
    x = 1,462.18

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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.