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Finding the Fourth Proportional to 2,973.74, 4,103.71 and 1,647.44

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Solution

The fourth proportional to 2,973.74, 4,103.71 and 1,647.44 is: 2,273.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,973.74 : 4,103.71 = 1,647.44 : x
  2. Step 2: Convert to fraction form
    2,973.74/4,103.71 = 1,647.44/x
  3. Step 3: Cross multiply
    2,973.74x = 4,103.71 × 1,647.44
  4. Step 4: Simplify right side
    2,973.74x = 6,760,616.00
  5. Step 5: Solve for x
    x = 6,760,616.00/2,973.74
  6. Step 6: Final answer
    x = 2,273.44

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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.