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Finding the Fourth Proportional to 2,955.67, 4,078.85 and 1,629.42

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Solution

The fourth proportional to 2,955.67, 4,078.85 and 1,629.42 is: 2,248.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,955.67 : 4,078.85 = 1,629.42 : x
  2. Step 2: Convert to fraction form
    2,955.67/4,078.85 = 1,629.42/x
  3. Step 3: Cross multiply
    2,955.67x = 4,078.85 × 1,629.42
  4. Step 4: Simplify right side
    2,955.67x = 6,646,146.51
  5. Step 5: Solve for x
    x = 6,646,146.51/2,955.67
  6. Step 6: Final answer
    x = 2,248.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.