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Finding the Fourth Proportional to 2,955.74, 4,078.98 and 1,629.45

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Solution

The fourth proportional to 2,955.74, 4,078.98 and 1,629.45 is: 2,248.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,955.74 : 4,078.98 = 1,629.45 : x
  2. Step 2: Convert to fraction form
    2,955.74/4,078.98 = 1,629.45/x
  3. Step 3: Cross multiply
    2,955.74x = 4,078.98 × 1,629.45
  4. Step 4: Simplify right side
    2,955.74x = 6,646,493.96
  5. Step 5: Solve for x
    x = 6,646,493.96/2,955.74
  6. Step 6: Final answer
    x = 2,248.68

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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.