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Finding the Fourth Proportional to 2,665.36, 3,998.04 and 933.58

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Solution

The fourth proportional to 2,665.36, 3,998.04 and 933.58 is: 1,400.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665.36 : 3,998.04 = 933.58 : x
  2. Step 2: Convert to fraction form
    2,665.36/3,998.04 = 933.58/x
  3. Step 3: Cross multiply
    2,665.36x = 3,998.04 × 933.58
  4. Step 4: Simplify right side
    2,665.36x = 3,732,465.53
  5. Step 5: Solve for x
    x = 3,732,465.53/2,665.36
  6. Step 6: Final answer
    x = 1,400.36

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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.