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Finding the Fourth Proportional to 2,184.79, 3,271.94 and 1,922.12

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Solution

The fourth proportional to 2,184.79, 3,271.94 and 1,922.12 is: 2,878.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,184.79 : 3,271.94 = 1,922.12 : x
  2. Step 2: Convert to fraction form
    2,184.79/3,271.94 = 1,922.12/x
  3. Step 3: Cross multiply
    2,184.79x = 3,271.94 × 1,922.12
  4. Step 4: Simplify right side
    2,184.79x = 6,289,061.31
  5. Step 5: Solve for x
    x = 6,289,061.31/2,184.79
  6. Step 6: Final answer
    x = 2,878.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.