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Finding the Fourth Proportional to 1,923.38, 2,887.74 and 1,337

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Solution

The fourth proportional to 1,923.38, 2,887.74 and 1,337 is: 2,007.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,923.38 : 2,887.74 = 1,337 : x
  2. Step 2: Convert to fraction form
    1,923.38/2,887.74 = 1,337/x
  3. Step 3: Cross multiply
    1,923.38x = 2,887.74 × 1,337
  4. Step 4: Simplify right side
    1,923.38x = 3,860,908.38
  5. Step 5: Solve for x
    x = 3,860,908.38/1,923.38
  6. Step 6: Final answer
    x = 2,007.36

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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.