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Finding the Fourth Proportional to 2,128.90, 3,193.89 and 974.38

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Solution

The fourth proportional to 2,128.90, 3,193.89 and 974.38 is: 1,461.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.90 : 3,193.89 = 974.38 : x
  2. Step 2: Convert to fraction form
    2,128.90/3,193.89 = 974.38/x
  3. Step 3: Cross multiply
    2,128.90x = 3,193.89 × 974.38
  4. Step 4: Simplify right side
    2,128.90x = 3,112,062.54
  5. Step 5: Solve for x
    x = 3,112,062.54/2,128.90
  6. Step 6: Final answer
    x = 1,461.82

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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.