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Finding the Fourth Proportional to 2,004.01, 3,004.02 and 753.71

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Solution

The fourth proportional to 2,004.01, 3,004.02 and 753.71 is: 1,129.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.01 : 3,004.02 = 753.71 : x
  2. Step 2: Convert to fraction form
    2,004.01/3,004.02 = 753.71/x
  3. Step 3: Cross multiply
    2,004.01x = 3,004.02 × 753.71
  4. Step 4: Simplify right side
    2,004.01x = 2,264,144.89
  5. Step 5: Solve for x
    x = 2,264,144.89/2,004.01
  6. Step 6: Final answer
    x = 1,129.81

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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.