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Finding the Fourth Proportional to 2,003.34, 2,764.32 and 1,206.48

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Solution

The fourth proportional to 2,003.34, 2,764.32 and 1,206.48 is: 1,664.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.34 : 2,764.32 = 1,206.48 : x
  2. Step 2: Convert to fraction form
    2,003.34/2,764.32 = 1,206.48/x
  3. Step 3: Cross multiply
    2,003.34x = 2,764.32 × 1,206.48
  4. Step 4: Simplify right side
    2,003.34x = 3,335,096.79
  5. Step 5: Solve for x
    x = 3,335,096.79/2,003.34
  6. Step 6: Final answer
    x = 1,664.77

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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.