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Finding the Fourth Proportional to 2,001.76, 3,002.60 and 905.34

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Solution

The fourth proportional to 2,001.76, 3,002.60 and 905.34 is: 1,357.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.76 : 3,002.60 = 905.34 : x
  2. Step 2: Convert to fraction form
    2,001.76/3,002.60 = 905.34/x
  3. Step 3: Cross multiply
    2,001.76x = 3,002.60 × 905.34
  4. Step 4: Simplify right side
    2,001.76x = 2,718,373.88
  5. Step 5: Solve for x
    x = 2,718,373.88/2,001.76
  6. Step 6: Final answer
    x = 1,357.99

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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.