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Finding the Fourth Proportional to 2,023.84, 3,035.81 and 563.01

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Solution

The fourth proportional to 2,023.84, 3,035.81 and 563.01 is: 844.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.84 : 3,035.81 = 563.01 : x
  2. Step 2: Convert to fraction form
    2,023.84/3,035.81 = 563.01/x
  3. Step 3: Cross multiply
    2,023.84x = 3,035.81 × 563.01
  4. Step 4: Simplify right side
    2,023.84x = 1,709,191.39
  5. Step 5: Solve for x
    x = 1,709,191.39/2,023.84
  6. Step 6: Final answer
    x = 844.53

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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.