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Finding the Fourth Proportional to 2,664.72, 3,997.08 and 933.36

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Solution

The fourth proportional to 2,664.72, 3,997.08 and 933.36 is: 1,400.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,664.72 : 3,997.08 = 933.36 : x
  2. Step 2: Convert to fraction form
    2,664.72/3,997.08 = 933.36/x
  3. Step 3: Cross multiply
    2,664.72x = 3,997.08 × 933.36
  4. Step 4: Simplify right side
    2,664.72x = 3,730,714.59
  5. Step 5: Solve for x
    x = 3,730,714.59/2,664.72
  6. Step 6: Final answer
    x = 1,400.04

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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.