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Finding the Fourth Proportional to 2,752.47, 3,800.34 and 1,797.01

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Solution

The fourth proportional to 2,752.47, 3,800.34 and 1,797.01 is: 2,481.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,752.47 : 3,800.34 = 1,797.01 : x
  2. Step 2: Convert to fraction form
    2,752.47/3,800.34 = 1,797.01/x
  3. Step 3: Cross multiply
    2,752.47x = 3,800.34 × 1,797.01
  4. Step 4: Simplify right side
    2,752.47x = 6,829,239.48
  5. Step 5: Solve for x
    x = 6,829,239.48/2,752.47
  6. Step 6: Final answer
    x = 2,481.13

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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.