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Finding the Fourth Proportional to 2,003.01, 2,765.52 and 1,305.60

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Solution

The fourth proportional to 2,003.01, 2,765.52 and 1,305.60 is: 1,802.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.01 : 2,765.52 = 1,305.60 : x
  2. Step 2: Convert to fraction form
    2,003.01/2,765.52 = 1,305.60/x
  3. Step 3: Cross multiply
    2,003.01x = 2,765.52 × 1,305.60
  4. Step 4: Simplify right side
    2,003.01x = 3,610,662.91
  5. Step 5: Solve for x
    x = 3,610,662.91/2,003.01
  6. Step 6: Final answer
    x = 1,802.62

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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.