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Finding the Fourth Proportional to 2,491.81, 3,439.08 and 1,497.64

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Solution

The fourth proportional to 2,491.81, 3,439.08 and 1,497.64 is: 2,066.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,491.81 : 3,439.08 = 1,497.64 : x
  2. Step 2: Convert to fraction form
    2,491.81/3,439.08 = 1,497.64/x
  3. Step 3: Cross multiply
    2,491.81x = 3,439.08 × 1,497.64
  4. Step 4: Simplify right side
    2,491.81x = 5,150,503.77
  5. Step 5: Solve for x
    x = 5,150,503.77/2,491.81
  6. Step 6: Final answer
    x = 2,066.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.