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Finding the Fourth Proportional to 2,023.93, 3,036.09 and 563.11

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Solution

The fourth proportional to 2,023.93, 3,036.09 and 563.11 is: 844.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.93 : 3,036.09 = 563.11 : x
  2. Step 2: Convert to fraction form
    2,023.93/3,036.09 = 563.11/x
  3. Step 3: Cross multiply
    2,023.93x = 3,036.09 × 563.11
  4. Step 4: Simplify right side
    2,023.93x = 1,709,652.64
  5. Step 5: Solve for x
    x = 1,709,652.64/2,023.93
  6. Step 6: Final answer
    x = 844.72

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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.