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Finding the Fourth Proportional to 3,034.89, 4,562.42 and 2,491.11

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Solution

The fourth proportional to 3,034.89, 4,562.42 and 2,491.11 is: 3,744.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,034.89 : 4,562.42 = 2,491.11 : x
  2. Step 2: Convert to fraction form
    3,034.89/4,562.42 = 2,491.11/x
  3. Step 3: Cross multiply
    3,034.89x = 4,562.42 × 2,491.11
  4. Step 4: Simplify right side
    3,034.89x = 11,365,477.63
  5. Step 5: Solve for x
    x = 11,365,477.63/3,034.89
  6. Step 6: Final answer
    x = 3,744.94

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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.