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Finding the Fourth Proportional to 2,203.58, 3,307.25 and 1,164.33

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Solution

The fourth proportional to 2,203.58, 3,307.25 and 1,164.33 is: 1,747.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203.58 : 3,307.25 = 1,164.33 : x
  2. Step 2: Convert to fraction form
    2,203.58/3,307.25 = 1,164.33/x
  3. Step 3: Cross multiply
    2,203.58x = 3,307.25 × 1,164.33
  4. Step 4: Simplify right side
    2,203.58x = 3,850,733.30
  5. Step 5: Solve for x
    x = 3,850,733.30/2,203.58
  6. Step 6: Final answer
    x = 1,747.49

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