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Finding the Fourth Proportional to 1,464.22, 2,193.85 and 885.88

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Solution

The fourth proportional to 1,464.22, 2,193.85 and 885.88 is: 1,327.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.22 : 2,193.85 = 885.88 : x
  2. Step 2: Convert to fraction form
    1,464.22/2,193.85 = 885.88/x
  3. Step 3: Cross multiply
    1,464.22x = 2,193.85 × 885.88
  4. Step 4: Simplify right side
    1,464.22x = 1,943,487.84
  5. Step 5: Solve for x
    x = 1,943,487.84/1,464.22
  6. Step 6: Final answer
    x = 1,327.32

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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.