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Finding the Fourth Proportional to 2,203.40, 3,040.77 and 1,208.75

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Solution

The fourth proportional to 2,203.40, 3,040.77 and 1,208.75 is: 1,668.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203.40 : 3,040.77 = 1,208.75 : x
  2. Step 2: Convert to fraction form
    2,203.40/3,040.77 = 1,208.75/x
  3. Step 3: Cross multiply
    2,203.40x = 3,040.77 × 1,208.75
  4. Step 4: Simplify right side
    2,203.40x = 3,675,518.42
  5. Step 5: Solve for x
    x = 3,675,518.42/2,203.40
  6. Step 6: Final answer
    x = 1,668.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.