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Finding the Fourth Proportional to 2,894.40, 3,993.30 and 1,847.07

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Solution

The fourth proportional to 2,894.40, 3,993.30 and 1,847.07 is: 2,548.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.40 : 3,993.30 = 1,847.07 : x
  2. Step 2: Convert to fraction form
    2,894.40/3,993.30 = 1,847.07/x
  3. Step 3: Cross multiply
    2,894.40x = 3,993.30 × 1,847.07
  4. Step 4: Simplify right side
    2,894.40x = 7,375,904.63
  5. Step 5: Solve for x
    x = 7,375,904.63/2,894.40
  6. Step 6: Final answer
    x = 2,548.34

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Why These Related Problems?

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