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Finding the Fourth Proportional to 2,537.67, 3,806.51 and 1,671.78

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Solution

The fourth proportional to 2,537.67, 3,806.51 and 1,671.78 is: 2,507.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,537.67 : 3,806.51 = 1,671.78 : x
  2. Step 2: Convert to fraction form
    2,537.67/3,806.51 = 1,671.78/x
  3. Step 3: Cross multiply
    2,537.67x = 3,806.51 × 1,671.78
  4. Step 4: Simplify right side
    2,537.67x = 6,363,638.93
  5. Step 5: Solve for x
    x = 6,363,638.93/2,537.67
  6. Step 6: Final answer
    x = 2,507.67

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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.