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Finding the Fourth Proportional to 2,427.22, 3,349.22 and 1,364.83

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Solution

The fourth proportional to 2,427.22, 3,349.22 and 1,364.83 is: 1,883.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,427.22 : 3,349.22 = 1,364.83 : x
  2. Step 2: Convert to fraction form
    2,427.22/3,349.22 = 1,364.83/x
  3. Step 3: Cross multiply
    2,427.22x = 3,349.22 × 1,364.83
  4. Step 4: Simplify right side
    2,427.22x = 4,571,119.57
  5. Step 5: Solve for x
    x = 4,571,119.57/2,427.22
  6. Step 6: Final answer
    x = 1,883.28

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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.