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Finding the Fourth Proportional to 4,614.94, 6,922.36 and 1,328.02

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Solution

The fourth proportional to 4,614.94, 6,922.36 and 1,328.02 is: 1,992.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,614.94 : 6,922.36 = 1,328.02 : x
  2. Step 2: Convert to fraction form
    4,614.94/6,922.36 = 1,328.02/x
  3. Step 3: Cross multiply
    4,614.94x = 6,922.36 × 1,328.02
  4. Step 4: Simplify right side
    4,614.94x = 9,193,032.53
  5. Step 5: Solve for x
    x = 9,193,032.53/4,614.94
  6. Step 6: Final answer
    x = 1,992.02

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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.