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Finding the Fourth Proportional to 1,993.59, 2,752.29 and 1,331.42

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Solution

The fourth proportional to 1,993.59, 2,752.29 and 1,331.42 is: 1,838.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,993.59 : 2,752.29 = 1,331.42 : x
  2. Step 2: Convert to fraction form
    1,993.59/2,752.29 = 1,331.42/x
  3. Step 3: Cross multiply
    1,993.59x = 2,752.29 × 1,331.42
  4. Step 4: Simplify right side
    1,993.59x = 3,664,440.19
  5. Step 5: Solve for x
    x = 3,664,440.19/1,993.59
  6. Step 6: Final answer
    x = 1,838.11

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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.