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Finding the Fourth Proportional to 2,751.21, 3,797.01 and 1,703.48

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Solution

The fourth proportional to 2,751.21, 3,797.01 and 1,703.48 is: 2,351.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,751.21 : 3,797.01 = 1,703.48 : x
  2. Step 2: Convert to fraction form
    2,751.21/3,797.01 = 1,703.48/x
  3. Step 3: Cross multiply
    2,751.21x = 3,797.01 × 1,703.48
  4. Step 4: Simplify right side
    2,751.21x = 6,468,111.61
  5. Step 5: Solve for x
    x = 6,468,111.61/2,751.21
  6. Step 6: Final answer
    x = 2,351.01

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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.