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Finding the Fourth Proportional to 3,161.94, 4,740.55 and 1,516.92

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Solution

The fourth proportional to 3,161.94, 4,740.55 and 1,516.92 is: 2,274.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,161.94 : 4,740.55 = 1,516.92 : x
  2. Step 2: Convert to fraction form
    3,161.94/4,740.55 = 1,516.92/x
  3. Step 3: Cross multiply
    3,161.94x = 4,740.55 × 1,516.92
  4. Step 4: Simplify right side
    3,161.94x = 7,191,035.11
  5. Step 5: Solve for x
    x = 7,191,035.11/3,161.94
  6. Step 6: Final answer
    x = 2,274.25

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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.