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Finding the Fourth Proportional to 2,909.38, 4,015.12 and 1,730.38

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Solution

The fourth proportional to 2,909.38, 4,015.12 and 1,730.38 is: 2,388.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,909.38 : 4,015.12 = 1,730.38 : x
  2. Step 2: Convert to fraction form
    2,909.38/4,015.12 = 1,730.38/x
  3. Step 3: Cross multiply
    2,909.38x = 4,015.12 × 1,730.38
  4. Step 4: Simplify right side
    2,909.38x = 6,947,683.35
  5. Step 5: Solve for x
    x = 6,947,683.35/2,909.38
  6. Step 6: Final answer
    x = 2,388.03

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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.