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Finding the Fourth Proportional to 2,537.53, 3,806.30 and 893.69

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Solution

The fourth proportional to 2,537.53, 3,806.30 and 893.69 is: 1,340.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,537.53 : 3,806.30 = 893.69 : x
  2. Step 2: Convert to fraction form
    2,537.53/3,806.30 = 893.69/x
  3. Step 3: Cross multiply
    2,537.53x = 3,806.30 × 893.69
  4. Step 4: Simplify right side
    2,537.53x = 3,401,652.25
  5. Step 5: Solve for x
    x = 3,401,652.25/2,537.53
  6. Step 6: Final answer
    x = 1,340.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.