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Finding the Fourth Proportional to 2,955.69, 4,078.80 and 1,629.40

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Solution

The fourth proportional to 2,955.69, 4,078.80 and 1,629.40 is: 2,248.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,955.69 : 4,078.80 = 1,629.40 : x
  2. Step 2: Convert to fraction form
    2,955.69/4,078.80 = 1,629.40/x
  3. Step 3: Cross multiply
    2,955.69x = 4,078.80 × 1,629.40
  4. Step 4: Simplify right side
    2,955.69x = 6,645,996.72
  5. Step 5: Solve for x
    x = 6,645,996.72/2,955.69
  6. Step 6: Final answer
    x = 2,248.54

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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.