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Finding the Fourth Proportional to 2,194.27, 3,030.12 and 1,409.67

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Solution

The fourth proportional to 2,194.27, 3,030.12 and 1,409.67 is: 1,946.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.27 : 3,030.12 = 1,409.67 : x
  2. Step 2: Convert to fraction form
    2,194.27/3,030.12 = 1,409.67/x
  3. Step 3: Cross multiply
    2,194.27x = 3,030.12 × 1,409.67
  4. Step 4: Simplify right side
    2,194.27x = 4,271,469.26
  5. Step 5: Solve for x
    x = 4,271,469.26/2,194.27
  6. Step 6: Final answer
    x = 1,946.65

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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.