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Finding the Fourth Proportional to 3,122.03, 4,684.89 and 1,661.19

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Solution

The fourth proportional to 3,122.03, 4,684.89 and 1,661.19 is: 2,492.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.03 : 4,684.89 = 1,661.19 : x
  2. Step 2: Convert to fraction form
    3,122.03/4,684.89 = 1,661.19/x
  3. Step 3: Cross multiply
    3,122.03x = 4,684.89 × 1,661.19
  4. Step 4: Simplify right side
    3,122.03x = 7,782,492.42
  5. Step 5: Solve for x
    x = 7,782,492.42/3,122.03
  6. Step 6: Final answer
    x = 2,492.77

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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.