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Finding the Fourth Proportional to 2,455.89, 3,662.27 and 2,434.02

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Solution

The fourth proportional to 2,455.89, 3,662.27 and 2,434.02 is: 3,629.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,455.89 : 3,662.27 = 2,434.02 : x
  2. Step 2: Convert to fraction form
    2,455.89/3,662.27 = 2,434.02/x
  3. Step 3: Cross multiply
    2,455.89x = 3,662.27 × 2,434.02
  4. Step 4: Simplify right side
    2,455.89x = 8,914,038.43
  5. Step 5: Solve for x
    x = 8,914,038.43/2,455.89
  6. Step 6: Final answer
    x = 3,629.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.