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Finding the Fourth Proportional to 1,993.35, 2,991.05 and 1,509.38

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Solution

The fourth proportional to 1,993.35, 2,991.05 and 1,509.38 is: 2,264.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,993.35 : 2,991.05 = 1,509.38 : x
  2. Step 2: Convert to fraction form
    1,993.35/2,991.05 = 1,509.38/x
  3. Step 3: Cross multiply
    1,993.35x = 2,991.05 × 1,509.38
  4. Step 4: Simplify right side
    1,993.35x = 4,514,631.05
  5. Step 5: Solve for x
    x = 4,514,631.05/1,993.35
  6. Step 6: Final answer
    x = 2,264.85

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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.