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Finding the Fourth Proportional to 1,665.90, 2,496.72 and 886.27

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Solution

The fourth proportional to 1,665.90, 2,496.72 and 886.27 is: 1,328.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665.90 : 2,496.72 = 886.27 : x
  2. Step 2: Convert to fraction form
    1,665.90/2,496.72 = 886.27/x
  3. Step 3: Cross multiply
    1,665.90x = 2,496.72 × 886.27
  4. Step 4: Simplify right side
    1,665.90x = 2,212,768.03
  5. Step 5: Solve for x
    x = 2,212,768.03/1,665.90
  6. Step 6: Final answer
    x = 1,328.27

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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.