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Finding the Fourth Proportional to 1,333.57, 1,997.62 and 893.47

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Solution

The fourth proportional to 1,333.57, 1,997.62 and 893.47 is: 1,338.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,333.57 : 1,997.62 = 893.47 : x
  2. Step 2: Convert to fraction form
    1,333.57/1,997.62 = 893.47/x
  3. Step 3: Cross multiply
    1,333.57x = 1,997.62 × 893.47
  4. Step 4: Simplify right side
    1,333.57x = 1,784,806.31
  5. Step 5: Solve for x
    x = 1,784,806.31/1,333.57
  6. Step 6: Final answer
    x = 1,338.37

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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.