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Finding the Fourth Proportional to 2,998.75, 4,138.28 and 1,756.75

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Solution

The fourth proportional to 2,998.75, 4,138.28 and 1,756.75 is: 2,424.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,998.75 : 4,138.28 = 1,756.75 : x
  2. Step 2: Convert to fraction form
    2,998.75/4,138.28 = 1,756.75/x
  3. Step 3: Cross multiply
    2,998.75x = 4,138.28 × 1,756.75
  4. Step 4: Simplify right side
    2,998.75x = 7,269,914.61
  5. Step 5: Solve for x
    x = 7,269,914.61/2,998.75
  6. Step 6: Final answer
    x = 2,424.32

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1.5x scale

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.