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Finding the Fourth Proportional to 2,894.39, 4,339.14 and 1,138.41

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Solution

The fourth proportional to 2,894.39, 4,339.14 and 1,138.41 is: 1,706.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.39 : 4,339.14 = 1,138.41 : x
  2. Step 2: Convert to fraction form
    2,894.39/4,339.14 = 1,138.41/x
  3. Step 3: Cross multiply
    2,894.39x = 4,339.14 × 1,138.41
  4. Step 4: Simplify right side
    2,894.39x = 4,939,720.37
  5. Step 5: Solve for x
    x = 4,939,720.37/2,894.39
  6. Step 6: Final answer
    x = 1,706.66

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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.