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Finding the Fourth Proportional to 1,881.33, 2,821.44 and 565.02

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Solution

The fourth proportional to 1,881.33, 2,821.44 and 565.02 is: 847.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,881.33 : 2,821.44 = 565.02 : x
  2. Step 2: Convert to fraction form
    1,881.33/2,821.44 = 565.02/x
  3. Step 3: Cross multiply
    1,881.33x = 2,821.44 × 565.02
  4. Step 4: Simplify right side
    1,881.33x = 1,594,170.03
  5. Step 5: Solve for x
    x = 1,594,170.03/1,881.33
  6. Step 6: Final answer
    x = 847.37

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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.