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Finding the Fourth Proportional to 2,043.30, 3,064.94 and 562.52

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Solution

The fourth proportional to 2,043.30, 3,064.94 and 562.52 is: 843.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,043.30 : 3,064.94 = 562.52 : x
  2. Step 2: Convert to fraction form
    2,043.30/3,064.94 = 562.52/x
  3. Step 3: Cross multiply
    2,043.30x = 3,064.94 × 562.52
  4. Step 4: Simplify right side
    2,043.30x = 1,724,090.05
  5. Step 5: Solve for x
    x = 1,724,090.05/2,043.30
  6. Step 6: Final answer
    x = 843.78

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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.