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Finding the Fourth Proportional to 2,486.21, 3,737.07 and 1,567.67

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Solution

The fourth proportional to 2,486.21, 3,737.07 and 1,567.67 is: 2,356.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,486.21 : 3,737.07 = 1,567.67 : x
  2. Step 2: Convert to fraction form
    2,486.21/3,737.07 = 1,567.67/x
  3. Step 3: Cross multiply
    2,486.21x = 3,737.07 × 1,567.67
  4. Step 4: Simplify right side
    2,486.21x = 5,858,495.99
  5. Step 5: Solve for x
    x = 5,858,495.99/2,486.21
  6. Step 6: Final answer
    x = 2,356.39

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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.