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Finding the Fourth Proportional to 2,023.98, 3,035.55 and 543.21

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Solution

The fourth proportional to 2,023.98, 3,035.55 and 543.21 is: 814.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.98 : 3,035.55 = 543.21 : x
  2. Step 2: Convert to fraction form
    2,023.98/3,035.55 = 543.21/x
  3. Step 3: Cross multiply
    2,023.98x = 3,035.55 × 543.21
  4. Step 4: Simplify right side
    2,023.98x = 1,648,941.12
  5. Step 5: Solve for x
    x = 1,648,941.12/2,023.98
  6. Step 6: Final answer
    x = 814.70

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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.