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Finding the Fourth Proportional to 2,204.70, 3,042.48 and 1,209.98

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Solution

The fourth proportional to 2,204.70, 3,042.48 and 1,209.98 is: 1,669.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,204.70 : 3,042.48 = 1,209.98 : x
  2. Step 2: Convert to fraction form
    2,204.70/3,042.48 = 1,209.98/x
  3. Step 3: Cross multiply
    2,204.70x = 3,042.48 × 1,209.98
  4. Step 4: Simplify right side
    2,204.70x = 3,681,339.95
  5. Step 5: Solve for x
    x = 3,681,339.95/2,204.70
  6. Step 6: Final answer
    x = 1,669.77

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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.