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Finding the Fourth Proportional to 2,822.26, 3,894.70 and 1,580.26

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Solution

The fourth proportional to 2,822.26, 3,894.70 and 1,580.26 is: 2,180.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822.26 : 3,894.70 = 1,580.26 : x
  2. Step 2: Convert to fraction form
    2,822.26/3,894.70 = 1,580.26/x
  3. Step 3: Cross multiply
    2,822.26x = 3,894.70 × 1,580.26
  4. Step 4: Simplify right side
    2,822.26x = 6,154,638.62
  5. Step 5: Solve for x
    x = 6,154,638.62/2,822.26
  6. Step 6: Final answer
    x = 2,180.75

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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.