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Finding the Fourth Proportional to 2,002.36, 3,003.72 and 1,125.16

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Solution

The fourth proportional to 2,002.36, 3,003.72 and 1,125.16 is: 1,687.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.36 : 3,003.72 = 1,125.16 : x
  2. Step 2: Convert to fraction form
    2,002.36/3,003.72 = 1,125.16/x
  3. Step 3: Cross multiply
    2,002.36x = 3,003.72 × 1,125.16
  4. Step 4: Simplify right side
    2,002.36x = 3,379,665.60
  5. Step 5: Solve for x
    x = 3,379,665.60/2,002.36
  6. Step 6: Final answer
    x = 1,687.84

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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.