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Finding the Fourth Proportional to 2,537.77, 3,813.36 and 1,368.67

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Solution

The fourth proportional to 2,537.77, 3,813.36 and 1,368.67 is: 2,056.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,537.77 : 3,813.36 = 1,368.67 : x
  2. Step 2: Convert to fraction form
    2,537.77/3,813.36 = 1,368.67/x
  3. Step 3: Cross multiply
    2,537.77x = 3,813.36 × 1,368.67
  4. Step 4: Simplify right side
    2,537.77x = 5,219,231.43
  5. Step 5: Solve for x
    x = 5,219,231.43/2,537.77
  6. Step 6: Final answer
    x = 2,056.62

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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.