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Finding the Fourth Proportional to 2,003.10, 2,999.18 and 1,693.28

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Solution

The fourth proportional to 2,003.10, 2,999.18 and 1,693.28 is: 2,535.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.10 : 2,999.18 = 1,693.28 : x
  2. Step 2: Convert to fraction form
    2,003.10/2,999.18 = 1,693.28/x
  3. Step 3: Cross multiply
    2,003.10x = 2,999.18 × 1,693.28
  4. Step 4: Simplify right side
    2,003.10x = 5,078,451.51
  5. Step 5: Solve for x
    x = 5,078,451.51/2,003.10
  6. Step 6: Final answer
    x = 2,535.30

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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.