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Finding the Fourth Proportional to 1,664.25, 2,297.07 and 966.03

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Solution

The fourth proportional to 1,664.25, 2,297.07 and 966.03 is: 1,333.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.25 : 2,297.07 = 966.03 : x
  2. Step 2: Convert to fraction form
    1,664.25/2,297.07 = 966.03/x
  3. Step 3: Cross multiply
    1,664.25x = 2,297.07 × 966.03
  4. Step 4: Simplify right side
    1,664.25x = 2,219,038.53
  5. Step 5: Solve for x
    x = 2,219,038.53/1,664.25
  6. Step 6: Final answer
    x = 1,333.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.