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Finding the Fourth Proportional to 2,283.98, 3,143.70 and 1,906.70

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Solution

The fourth proportional to 2,283.98, 3,143.70 and 1,906.70 is: 2,624.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283.98 : 3,143.70 = 1,906.70 : x
  2. Step 2: Convert to fraction form
    2,283.98/3,143.70 = 1,906.70/x
  3. Step 3: Cross multiply
    2,283.98x = 3,143.70 × 1,906.70
  4. Step 4: Simplify right side
    2,283.98x = 5,994,077.07
  5. Step 5: Solve for x
    x = 5,994,077.07/2,283.98
  6. Step 6: Final answer
    x = 2,624.41

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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.