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Finding the Fourth Proportional to 2,964.06, 4,089.29 and 1,968.98

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Solution

The fourth proportional to 2,964.06, 4,089.29 and 1,968.98 is: 2,716.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,964.06 : 4,089.29 = 1,968.98 : x
  2. Step 2: Convert to fraction form
    2,964.06/4,089.29 = 1,968.98/x
  3. Step 3: Cross multiply
    2,964.06x = 4,089.29 × 1,968.98
  4. Step 4: Simplify right side
    2,964.06x = 8,051,699.93
  5. Step 5: Solve for x
    x = 8,051,699.93/2,964.06
  6. Step 6: Final answer
    x = 2,716.44

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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.