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Finding the Fourth Proportional to 2,204.85, 3,041.85 and 1,260.70

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Solution

The fourth proportional to 2,204.85, 3,041.85 and 1,260.70 is: 1,739.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,204.85 : 3,041.85 = 1,260.70 : x
  2. Step 2: Convert to fraction form
    2,204.85/3,041.85 = 1,260.70/x
  3. Step 3: Cross multiply
    2,204.85x = 3,041.85 × 1,260.70
  4. Step 4: Simplify right side
    2,204.85x = 3,834,857.42
  5. Step 5: Solve for x
    x = 3,834,857.42/2,204.85
  6. Step 6: Final answer
    x = 1,739.28

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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.