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Finding the Fourth Proportional to 2,977.67, 4,462.34 and 2,536.62

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Solution

The fourth proportional to 2,977.67, 4,462.34 and 2,536.62 is: 3,801.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,977.67 : 4,462.34 = 2,536.62 : x
  2. Step 2: Convert to fraction form
    2,977.67/4,462.34 = 2,536.62/x
  3. Step 3: Cross multiply
    2,977.67x = 4,462.34 × 2,536.62
  4. Step 4: Simplify right side
    2,977.67x = 11,319,248.21
  5. Step 5: Solve for x
    x = 11,319,248.21/2,977.67
  6. Step 6: Final answer
    x = 3,801.38

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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.