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Finding the Fourth Proportional to 2,001.64, 3,003.70 and 769.16

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Solution

The fourth proportional to 2,001.64, 3,003.70 and 769.16 is: 1,154.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.64 : 3,003.70 = 769.16 : x
  2. Step 2: Convert to fraction form
    2,001.64/3,003.70 = 769.16/x
  3. Step 3: Cross multiply
    2,001.64x = 3,003.70 × 769.16
  4. Step 4: Simplify right side
    2,001.64x = 2,310,325.89
  5. Step 5: Solve for x
    x = 2,310,325.89/2,001.64
  6. Step 6: Final answer
    x = 1,154.22

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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.