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Finding the Fourth Proportional to 2,363.72, 3,544.86 and 1,337

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Solution

The fourth proportional to 2,363.72, 3,544.86 and 1,337 is: 2,005.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,363.72 : 3,544.86 = 1,337 : x
  2. Step 2: Convert to fraction form
    2,363.72/3,544.86 = 1,337/x
  3. Step 3: Cross multiply
    2,363.72x = 3,544.86 × 1,337
  4. Step 4: Simplify right side
    2,363.72x = 4,739,477.82
  5. Step 5: Solve for x
    x = 4,739,477.82/2,363.72
  6. Step 6: Final answer
    x = 2,005.09

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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.