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Finding the Fourth Proportional to 2,003.12, 2,764.14 and 1,118.87

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Solution

The fourth proportional to 2,003.12, 2,764.14 and 1,118.87 is: 1,543.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.12 : 2,764.14 = 1,118.87 : x
  2. Step 2: Convert to fraction form
    2,003.12/2,764.14 = 1,118.87/x
  3. Step 3: Cross multiply
    2,003.12x = 2,764.14 × 1,118.87
  4. Step 4: Simplify right side
    2,003.12x = 3,092,699.50
  5. Step 5: Solve for x
    x = 3,092,699.50/2,003.12
  6. Step 6: Final answer
    x = 1,543.95

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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.