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Finding the Fourth Proportional to 2,973.54, 4,103.28 and 1,647.12

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Solution

The fourth proportional to 2,973.54, 4,103.28 and 1,647.12 is: 2,272.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,973.54 : 4,103.28 = 1,647.12 : x
  2. Step 2: Convert to fraction form
    2,973.54/4,103.28 = 1,647.12/x
  3. Step 3: Cross multiply
    2,973.54x = 4,103.28 × 1,647.12
  4. Step 4: Simplify right side
    2,973.54x = 6,758,594.55
  5. Step 5: Solve for x
    x = 6,758,594.55/2,973.54
  6. Step 6: Final answer
    x = 2,272.91

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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.