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Finding the Fourth Proportional to 1,664.60, 2,495.81 and 884.09

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Solution

The fourth proportional to 1,664.60, 2,495.81 and 884.09 is: 1,325.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.60 : 2,495.81 = 884.09 : x
  2. Step 2: Convert to fraction form
    1,664.60/2,495.81 = 884.09/x
  3. Step 3: Cross multiply
    1,664.60x = 2,495.81 × 884.09
  4. Step 4: Simplify right side
    1,664.60x = 2,206,529.11
  5. Step 5: Solve for x
    x = 2,206,529.11/1,664.60
  6. Step 6: Final answer
    x = 1,325.57

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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.