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Finding the Fourth Proportional to 2,004.67, 3,007.00 and 1,188.12

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Solution

The fourth proportional to 2,004.67, 3,007.00 and 1,188.12 is: 1,782.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.67 : 3,007.00 = 1,188.12 : x
  2. Step 2: Convert to fraction form
    2,004.67/3,007.00 = 1,188.12/x
  3. Step 3: Cross multiply
    2,004.67x = 3,007.00 × 1,188.12
  4. Step 4: Simplify right side
    2,004.67x = 3,572,669.35
  5. Step 5: Solve for x
    x = 3,572,669.35/2,004.67
  6. Step 6: Final answer
    x = 1,782.17

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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.