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Finding the Fourth Proportional to 2,973.49, 4,103.65 and 1,647.32

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Solution

The fourth proportional to 2,973.49, 4,103.65 and 1,647.32 is: 2,273.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,973.49 : 4,103.65 = 1,647.32 : x
  2. Step 2: Convert to fraction form
    2,973.49/4,103.65 = 1,647.32/x
  3. Step 3: Cross multiply
    2,973.49x = 4,103.65 × 1,647.32
  4. Step 4: Simplify right side
    2,973.49x = 6,760,024.72
  5. Step 5: Solve for x
    x = 6,760,024.72/2,973.49
  6. Step 6: Final answer
    x = 2,273.43

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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.