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Finding the Fourth Proportional to 2,537.20, 3,806.22 and 893.32

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Solution

The fourth proportional to 2,537.20, 3,806.22 and 893.32 is: 1,340.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,537.20 : 3,806.22 = 893.32 : x
  2. Step 2: Convert to fraction form
    2,537.20/3,806.22 = 893.32/x
  3. Step 3: Cross multiply
    2,537.20x = 3,806.22 × 893.32
  4. Step 4: Simplify right side
    2,537.20x = 3,400,172.45
  5. Step 5: Solve for x
    x = 3,400,172.45/2,537.20
  6. Step 6: Final answer
    x = 1,340.13

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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.