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Finding the Fourth Proportional to 2,135.46, 2,946.94 and 1,191.23

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Solution

The fourth proportional to 2,135.46, 2,946.94 and 1,191.23 is: 1,643.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.46 : 2,946.94 = 1,191.23 : x
  2. Step 2: Convert to fraction form
    2,135.46/2,946.94 = 1,191.23/x
  3. Step 3: Cross multiply
    2,135.46x = 2,946.94 × 1,191.23
  4. Step 4: Simplify right side
    2,135.46x = 3,510,485.02
  5. Step 5: Solve for x
    x = 3,510,485.02/2,135.46
  6. Step 6: Final answer
    x = 1,643.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.