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Finding the Fourth Proportional to 2,203.86, 3,041.32 and 1,209.12

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Solution

The fourth proportional to 2,203.86, 3,041.32 and 1,209.12 is: 1,668.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203.86 : 3,041.32 = 1,209.12 : x
  2. Step 2: Convert to fraction form
    2,203.86/3,041.32 = 1,209.12/x
  3. Step 3: Cross multiply
    2,203.86x = 3,041.32 × 1,209.12
  4. Step 4: Simplify right side
    2,203.86x = 3,677,317.82
  5. Step 5: Solve for x
    x = 3,677,317.82/2,203.86
  6. Step 6: Final answer
    x = 1,668.58

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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.