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Finding the Fourth Proportional to 2,391, 3,299.61 and 1,446.81

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Solution

The fourth proportional to 2,391, 3,299.61 and 1,446.81 is: 1,996.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,391 : 3,299.61 = 1,446.81 : x
  2. Step 2: Convert to fraction form
    2,391/3,299.61 = 1,446.81/x
  3. Step 3: Cross multiply
    2,391x = 3,299.61 × 1,446.81
  4. Step 4: Simplify right side
    2,391x = 4,773,908.74
  5. Step 5: Solve for x
    x = 4,773,908.74/2,391
  6. Step 6: Final answer
    x = 1,996.62

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Why These Related Problems?

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