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Finding the Fourth Proportional to 1,799.94, 2,483.87 and 1,013.97

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Solution

The fourth proportional to 1,799.94, 2,483.87 and 1,013.97 is: 1,399.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,799.94 : 2,483.87 = 1,013.97 : x
  2. Step 2: Convert to fraction form
    1,799.94/2,483.87 = 1,013.97/x
  3. Step 3: Cross multiply
    1,799.94x = 2,483.87 × 1,013.97
  4. Step 4: Simplify right side
    1,799.94x = 2,518,569.66
  5. Step 5: Solve for x
    x = 2,518,569.66/1,799.94
  6. Step 6: Final answer
    x = 1,399.25

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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.