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Finding the Fourth Proportional to 2,822.70, 3,894.91 and 1,774.56

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Solution

The fourth proportional to 2,822.70, 3,894.91 and 1,774.56 is: 2,448.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822.70 : 3,894.91 = 1,774.56 : x
  2. Step 2: Convert to fraction form
    2,822.70/3,894.91 = 1,774.56/x
  3. Step 3: Cross multiply
    2,822.70x = 3,894.91 × 1,774.56
  4. Step 4: Simplify right side
    2,822.70x = 6,911,751.49
  5. Step 5: Solve for x
    x = 6,911,751.49/2,822.70
  6. Step 6: Final answer
    x = 2,448.63

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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.