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Finding the Fourth Proportional to 2,552.38, 3,828.09 and 703.25

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Solution

The fourth proportional to 2,552.38, 3,828.09 and 703.25 is: 1,054.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,552.38 : 3,828.09 = 703.25 : x
  2. Step 2: Convert to fraction form
    2,552.38/3,828.09 = 703.25/x
  3. Step 3: Cross multiply
    2,552.38x = 3,828.09 × 703.25
  4. Step 4: Simplify right side
    2,552.38x = 2,692,102.14
  5. Step 5: Solve for x
    x = 2,692,102.14/2,552.38
  6. Step 6: Final answer
    x = 1,054.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.