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Finding the Fourth Proportional to 2,204.51, 3,303.12 and 1,380.74

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Solution

The fourth proportional to 2,204.51, 3,303.12 and 1,380.74 is: 2,068.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,204.51 : 3,303.12 = 1,380.74 : x
  2. Step 2: Convert to fraction form
    2,204.51/3,303.12 = 1,380.74/x
  3. Step 3: Cross multiply
    2,204.51x = 3,303.12 × 1,380.74
  4. Step 4: Simplify right side
    2,204.51x = 4,560,749.91
  5. Step 5: Solve for x
    x = 4,560,749.91/2,204.51
  6. Step 6: Final answer
    x = 2,068.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.