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Finding the Fourth Proportional to 2,133.08, 3,194.15 and 1,484.27

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Solution

The fourth proportional to 2,133.08, 3,194.15 and 1,484.27 is: 2,222.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.08 : 3,194.15 = 1,484.27 : x
  2. Step 2: Convert to fraction form
    2,133.08/3,194.15 = 1,484.27/x
  3. Step 3: Cross multiply
    2,133.08x = 3,194.15 × 1,484.27
  4. Step 4: Simplify right side
    2,133.08x = 4,740,957.63
  5. Step 5: Solve for x
    x = 4,740,957.63/2,133.08
  6. Step 6: Final answer
    x = 2,222.59

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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.