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Finding the Fourth Proportional to 2,455.21, 3,679.12 and 1,661.72

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Solution

The fourth proportional to 2,455.21, 3,679.12 and 1,661.72 is: 2,490.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,455.21 : 3,679.12 = 1,661.72 : x
  2. Step 2: Convert to fraction form
    2,455.21/3,679.12 = 1,661.72/x
  3. Step 3: Cross multiply
    2,455.21x = 3,679.12 × 1,661.72
  4. Step 4: Simplify right side
    2,455.21x = 6,113,650.97
  5. Step 5: Solve for x
    x = 6,113,650.97/2,455.21
  6. Step 6: Final answer
    x = 2,490.07

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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.