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Finding the Fourth Proportional to 2,283.92, 3,150.02 and 1,654.54

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Solution

The fourth proportional to 2,283.92, 3,150.02 and 1,654.54 is: 2,281.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283.92 : 3,150.02 = 1,654.54 : x
  2. Step 2: Convert to fraction form
    2,283.92/3,150.02 = 1,654.54/x
  3. Step 3: Cross multiply
    2,283.92x = 3,150.02 × 1,654.54
  4. Step 4: Simplify right side
    2,283.92x = 5,211,834.09
  5. Step 5: Solve for x
    x = 5,211,834.09/2,283.92
  6. Step 6: Final answer
    x = 2,281.97

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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.