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Finding the Fourth Proportional to 2,749.89, 4,123.35 and 994.62

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Solution

The fourth proportional to 2,749.89, 4,123.35 and 994.62 is: 1,491.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,749.89 : 4,123.35 = 994.62 : x
  2. Step 2: Convert to fraction form
    2,749.89/4,123.35 = 994.62/x
  3. Step 3: Cross multiply
    2,749.89x = 4,123.35 × 994.62
  4. Step 4: Simplify right side
    2,749.89x = 4,101,166.38
  5. Step 5: Solve for x
    x = 4,101,166.38/2,749.89
  6. Step 6: Final answer
    x = 1,491.39

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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.