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Finding the Fourth Proportional to 1,881.08, 2,821.07 and 564.77

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Solution

The fourth proportional to 1,881.08, 2,821.07 and 564.77 is: 846.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,881.08 : 2,821.07 = 564.77 : x
  2. Step 2: Convert to fraction form
    1,881.08/2,821.07 = 564.77/x
  3. Step 3: Cross multiply
    1,881.08x = 2,821.07 × 564.77
  4. Step 4: Simplify right side
    1,881.08x = 1,593,252.88
  5. Step 5: Solve for x
    x = 1,593,252.88/1,881.08
  6. Step 6: Final answer
    x = 846.99

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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.