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Finding the Fourth Proportional to 2,003.57, 3,004.97 and 542.53

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Solution

The fourth proportional to 2,003.57, 3,004.97 and 542.53 is: 813.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.57 : 3,004.97 = 542.53 : x
  2. Step 2: Convert to fraction form
    2,003.57/3,004.97 = 542.53/x
  3. Step 3: Cross multiply
    2,003.57x = 3,004.97 × 542.53
  4. Step 4: Simplify right side
    2,003.57x = 1,630,271.35
  5. Step 5: Solve for x
    x = 1,630,271.35/2,003.57
  6. Step 6: Final answer
    x = 813.69

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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.