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Finding the Fourth Proportional to 2,002.33, 3,003.53 and 703.83

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Solution

The fourth proportional to 2,002.33, 3,003.53 and 703.83 is: 1,055.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.33 : 3,003.53 = 703.83 : x
  2. Step 2: Convert to fraction form
    2,002.33/3,003.53 = 703.83/x
  3. Step 3: Cross multiply
    2,002.33x = 3,003.53 × 703.83
  4. Step 4: Simplify right side
    2,002.33x = 2,113,974.52
  5. Step 5: Solve for x
    x = 2,113,974.52/2,002.33
  6. Step 6: Final answer
    x = 1,055.76

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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.