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Finding the Fourth Proportional to 2,973.64, 4,103.20 and 1,647.42

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Solution

The fourth proportional to 2,973.64, 4,103.20 and 1,647.42 is: 2,273.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,973.64 : 4,103.20 = 1,647.42 : x
  2. Step 2: Convert to fraction form
    2,973.64/4,103.20 = 1,647.42/x
  3. Step 3: Cross multiply
    2,973.64x = 4,103.20 × 1,647.42
  4. Step 4: Simplify right side
    2,973.64x = 6,759,695.80
  5. Step 5: Solve for x
    x = 6,759,695.80/2,973.64
  6. Step 6: Final answer
    x = 2,273.21

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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.