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Finding the Fourth Proportional to 2,089.61, 3,120.48 and 1,968.11

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Solution

The fourth proportional to 2,089.61, 3,120.48 and 1,968.11 is: 2,939.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.61 : 3,120.48 = 1,968.11 : x
  2. Step 2: Convert to fraction form
    2,089.61/3,120.48 = 1,968.11/x
  3. Step 3: Cross multiply
    2,089.61x = 3,120.48 × 1,968.11
  4. Step 4: Simplify right side
    2,089.61x = 6,141,447.89
  5. Step 5: Solve for x
    x = 6,141,447.89/2,089.61
  6. Step 6: Final answer
    x = 2,939.04

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.