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Finding the Fourth Proportional to 2,194.92, 3,293.30 and 1,154.67

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Solution

The fourth proportional to 2,194.92, 3,293.30 and 1,154.67 is: 1,732.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.92 : 3,293.30 = 1,154.67 : x
  2. Step 2: Convert to fraction form
    2,194.92/3,293.30 = 1,154.67/x
  3. Step 3: Cross multiply
    2,194.92x = 3,293.30 × 1,154.67
  4. Step 4: Simplify right side
    2,194.92x = 3,802,674.71
  5. Step 5: Solve for x
    x = 3,802,674.71/2,194.92
  6. Step 6: Final answer
    x = 1,732.49

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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.