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Finding the Fourth Proportional to 1,464.09, 2,193.66 and 885.75

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Solution

The fourth proportional to 1,464.09, 2,193.66 and 885.75 is: 1,327.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.09 : 2,193.66 = 885.75 : x
  2. Step 2: Convert to fraction form
    1,464.09/2,193.66 = 885.75/x
  3. Step 3: Cross multiply
    1,464.09x = 2,193.66 × 885.75
  4. Step 4: Simplify right side
    1,464.09x = 1,943,029.92
  5. Step 5: Solve for x
    x = 1,943,029.92/1,464.09
  6. Step 6: Final answer
    x = 1,327.12

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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.