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Finding the Fourth Proportional to 2,001.64, 2,999.73 and 1,269.90

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Solution

The fourth proportional to 2,001.64, 2,999.73 and 1,269.90 is: 1,903.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.64 : 2,999.73 = 1,269.90 : x
  2. Step 2: Convert to fraction form
    2,001.64/2,999.73 = 1,269.90/x
  3. Step 3: Cross multiply
    2,001.64x = 2,999.73 × 1,269.90
  4. Step 4: Simplify right side
    2,001.64x = 3,809,358.28
  5. Step 5: Solve for x
    x = 3,809,358.28/2,001.64
  6. Step 6: Final answer
    x = 1,903.12

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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.