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Finding the Fourth Proportional to 2,751.63, 3,797.24 and 1,509.63

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Solution

The fourth proportional to 2,751.63, 3,797.24 and 1,509.63 is: 2,083.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,751.63 : 3,797.24 = 1,509.63 : x
  2. Step 2: Convert to fraction form
    2,751.63/3,797.24 = 1,509.63/x
  3. Step 3: Cross multiply
    2,751.63x = 3,797.24 × 1,509.63
  4. Step 4: Simplify right side
    2,751.63x = 5,732,427.42
  5. Step 5: Solve for x
    x = 5,732,427.42/2,751.63
  6. Step 6: Final answer
    x = 2,083.28

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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.