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Finding the Fourth Proportional to 2,003.57, 2,764.90 and 1,119.39

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Solution

The fourth proportional to 2,003.57, 2,764.90 and 1,119.39 is: 1,544.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.57 : 2,764.90 = 1,119.39 : x
  2. Step 2: Convert to fraction form
    2,003.57/2,764.90 = 1,119.39/x
  3. Step 3: Cross multiply
    2,003.57x = 2,764.90 × 1,119.39
  4. Step 4: Simplify right side
    2,003.57x = 3,095,001.41
  5. Step 5: Solve for x
    x = 3,095,001.41/2,003.57
  6. Step 6: Final answer
    x = 1,544.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.