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Finding the Fourth Proportional to 1,751.15, 2,415.83 and 1,253.61

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Solution

The fourth proportional to 1,751.15, 2,415.83 and 1,253.61 is: 1,729.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,751.15 : 2,415.83 = 1,253.61 : x
  2. Step 2: Convert to fraction form
    1,751.15/2,415.83 = 1,253.61/x
  3. Step 3: Cross multiply
    1,751.15x = 2,415.83 × 1,253.61
  4. Step 4: Simplify right side
    1,751.15x = 3,028,502.38
  5. Step 5: Solve for x
    x = 3,028,502.38/1,751.15
  6. Step 6: Final answer
    x = 1,729.43

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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.