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Finding the Fourth Proportional to 2,003.02, 2,764.06 and 1,118.65

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Solution

The fourth proportional to 2,003.02, 2,764.06 and 1,118.65 is: 1,543.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.02 : 2,764.06 = 1,118.65 : x
  2. Step 2: Convert to fraction form
    2,003.02/2,764.06 = 1,118.65/x
  3. Step 3: Cross multiply
    2,003.02x = 2,764.06 × 1,118.65
  4. Step 4: Simplify right side
    2,003.02x = 3,092,015.72
  5. Step 5: Solve for x
    x = 3,092,015.72/2,003.02
  6. Step 6: Final answer
    x = 1,543.68

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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.