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Finding the Fourth Proportional to 2,203.82, 3,041.30 and 1,209.10

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Solution

The fourth proportional to 2,203.82, 3,041.30 and 1,209.10 is: 1,668.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203.82 : 3,041.30 = 1,209.10 : x
  2. Step 2: Convert to fraction form
    2,203.82/3,041.30 = 1,209.10/x
  3. Step 3: Cross multiply
    2,203.82x = 3,041.30 × 1,209.10
  4. Step 4: Simplify right side
    2,203.82x = 3,677,235.83
  5. Step 5: Solve for x
    x = 3,677,235.83/2,203.82
  6. Step 6: Final answer
    x = 1,668.57

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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.