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Finding the Fourth Proportional to 2,382.35, 3,288.02 and 1,498.23

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Solution

The fourth proportional to 2,382.35, 3,288.02 and 1,498.23 is: 2,067.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,382.35 : 3,288.02 = 1,498.23 : x
  2. Step 2: Convert to fraction form
    2,382.35/3,288.02 = 1,498.23/x
  3. Step 3: Cross multiply
    2,382.35x = 3,288.02 × 1,498.23
  4. Step 4: Simplify right side
    2,382.35x = 4,926,202.71
  5. Step 5: Solve for x
    x = 4,926,202.71/2,382.35
  6. Step 6: Final answer
    x = 2,067.80

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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.