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Finding the Fourth Proportional to 2,553.67, 3,830.51 and 1,687.78

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Solution

The fourth proportional to 2,553.67, 3,830.51 and 1,687.78 is: 2,531.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,553.67 : 3,830.51 = 1,687.78 : x
  2. Step 2: Convert to fraction form
    2,553.67/3,830.51 = 1,687.78/x
  3. Step 3: Cross multiply
    2,553.67x = 3,830.51 × 1,687.78
  4. Step 4: Simplify right side
    2,553.67x = 6,465,058.17
  5. Step 5: Solve for x
    x = 6,465,058.17/2,553.67
  6. Step 6: Final answer
    x = 2,531.67

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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.