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Finding the Fourth Proportional to 2,287.92, 3,429.72 and 1,133.04

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Solution

The fourth proportional to 2,287.92, 3,429.72 and 1,133.04 is: 1,698.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.92 : 3,429.72 = 1,133.04 : x
  2. Step 2: Convert to fraction form
    2,287.92/3,429.72 = 1,133.04/x
  3. Step 3: Cross multiply
    2,287.92x = 3,429.72 × 1,133.04
  4. Step 4: Simplify right side
    2,287.92x = 3,886,009.95
  5. Step 5: Solve for x
    x = 3,886,009.95/2,287.92
  6. Step 6: Final answer
    x = 1,698.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.