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Finding the Fourth Proportional to 2,138.84, 2,951.24 and 1,194.59

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Solution

The fourth proportional to 2,138.84, 2,951.24 and 1,194.59 is: 1,648.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.84 : 2,951.24 = 1,194.59 : x
  2. Step 2: Convert to fraction form
    2,138.84/2,951.24 = 1,194.59/x
  3. Step 3: Cross multiply
    2,138.84x = 2,951.24 × 1,194.59
  4. Step 4: Simplify right side
    2,138.84x = 3,525,501.06
  5. Step 5: Solve for x
    x = 3,525,501.06/2,138.84
  6. Step 6: Final answer
    x = 1,648.33

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1.5x scale

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.