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Finding the Fourth Proportional to 2,751.44, 3,797.04 and 1,509.44

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Solution

The fourth proportional to 2,751.44, 3,797.04 and 1,509.44 is: 2,083.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,751.44 : 3,797.04 = 1,509.44 : x
  2. Step 2: Convert to fraction form
    2,751.44/3,797.04 = 1,509.44/x
  3. Step 3: Cross multiply
    2,751.44x = 3,797.04 × 1,509.44
  4. Step 4: Simplify right side
    2,751.44x = 5,731,404.06
  5. Step 5: Solve for x
    x = 5,731,404.06/2,751.44
  6. Step 6: Final answer
    x = 2,083.06

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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.