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Finding the Fourth Proportional to 2,491.42, 3,735.91 and 1,451.79

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Solution

The fourth proportional to 2,491.42, 3,735.91 and 1,451.79 is: 2,176.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,491.42 : 3,735.91 = 1,451.79 : x
  2. Step 2: Convert to fraction form
    2,491.42/3,735.91 = 1,451.79/x
  3. Step 3: Cross multiply
    2,491.42x = 3,735.91 × 1,451.79
  4. Step 4: Simplify right side
    2,491.42x = 5,423,730.84
  5. Step 5: Solve for x
    x = 5,423,730.84/2,491.42
  6. Step 6: Final answer
    x = 2,176.96

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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.