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Finding the Fourth Proportional to 2,003.07, 3,004.38 and 542.01

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Solution

The fourth proportional to 2,003.07, 3,004.38 and 542.01 is: 812.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.07 : 3,004.38 = 542.01 : x
  2. Step 2: Convert to fraction form
    2,003.07/3,004.38 = 542.01/x
  3. Step 3: Cross multiply
    2,003.07x = 3,004.38 × 542.01
  4. Step 4: Simplify right side
    2,003.07x = 1,628,404.00
  5. Step 5: Solve for x
    x = 1,628,404.00/2,003.07
  6. Step 6: Final answer
    x = 812.95

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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.