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Finding the Fourth Proportional to 2,411.81, 3,331.04 and 1,624.49

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Solution

The fourth proportional to 2,411.81, 3,331.04 and 1,624.49 is: 2,243.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,411.81 : 3,331.04 = 1,624.49 : x
  2. Step 2: Convert to fraction form
    2,411.81/3,331.04 = 1,624.49/x
  3. Step 3: Cross multiply
    2,411.81x = 3,331.04 × 1,624.49
  4. Step 4: Simplify right side
    2,411.81x = 5,411,241.37
  5. Step 5: Solve for x
    x = 5,411,241.37/2,411.81
  6. Step 6: Final answer
    x = 2,243.64

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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.