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Finding the Fourth Proportional to 2,973.52, 4,104 and 1,978.96

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Solution

The fourth proportional to 2,973.52, 4,104 and 1,978.96 is: 2,731.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,973.52 : 4,104 = 1,978.96 : x
  2. Step 2: Convert to fraction form
    2,973.52/4,104 = 1,978.96/x
  3. Step 3: Cross multiply
    2,973.52x = 4,104 × 1,978.96
  4. Step 4: Simplify right side
    2,973.52x = 8,121,651.84
  5. Step 5: Solve for x
    x = 8,121,651.84/2,973.52
  6. Step 6: Final answer
    x = 2,731.33

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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.