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Finding the Fourth Proportional to 2,496.57, 3,741.50 and 1,383.36

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Solution

The fourth proportional to 2,496.57, 3,741.50 and 1,383.36 is: 2,073.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,496.57 : 3,741.50 = 1,383.36 : x
  2. Step 2: Convert to fraction form
    2,496.57/3,741.50 = 1,383.36/x
  3. Step 3: Cross multiply
    2,496.57x = 3,741.50 × 1,383.36
  4. Step 4: Simplify right side
    2,496.57x = 5,175,834.52
  5. Step 5: Solve for x
    x = 5,175,834.52/2,496.57
  6. Step 6: Final answer
    x = 2,073.18

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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.