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Finding the Fourth Proportional to 1,799.92, 2,483.92 and 1,003.23

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Solution

The fourth proportional to 1,799.92, 2,483.92 and 1,003.23 is: 1,384.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,799.92 : 2,483.92 = 1,003.23 : x
  2. Step 2: Convert to fraction form
    1,799.92/2,483.92 = 1,003.23/x
  3. Step 3: Cross multiply
    1,799.92x = 2,483.92 × 1,003.23
  4. Step 4: Simplify right side
    1,799.92x = 2,491,943.06
  5. Step 5: Solve for x
    x = 2,491,943.06/1,799.92
  6. Step 6: Final answer
    x = 1,384.47

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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.