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Finding the Fourth Proportional to 2,940.27, 4,407.68 and 991.11

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Solution

The fourth proportional to 2,940.27, 4,407.68 and 991.11 is: 1,485.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,940.27 : 4,407.68 = 991.11 : x
  2. Step 2: Convert to fraction form
    2,940.27/4,407.68 = 991.11/x
  3. Step 3: Cross multiply
    2,940.27x = 4,407.68 × 991.11
  4. Step 4: Simplify right side
    2,940.27x = 4,368,492.01
  5. Step 5: Solve for x
    x = 4,368,492.01/2,940.27
  6. Step 6: Final answer
    x = 1,485.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.