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Finding the Fourth Proportional to 2,894.67, 4,342.01 and 1,922.67

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Solution

The fourth proportional to 2,894.67, 4,342.01 and 1,922.67 is: 2,884.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.67 : 4,342.01 = 1,922.67 : x
  2. Step 2: Convert to fraction form
    2,894.67/4,342.01 = 1,922.67/x
  3. Step 3: Cross multiply
    2,894.67x = 4,342.01 × 1,922.67
  4. Step 4: Simplify right side
    2,894.67x = 8,348,242.75
  5. Step 5: Solve for x
    x = 8,348,242.75/2,894.67
  6. Step 6: Final answer
    x = 2,884.01

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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.