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Finding the Fourth Proportional to 2,857.22, 3,942.25 and 1,678.07

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Solution

The fourth proportional to 2,857.22, 3,942.25 and 1,678.07 is: 2,315.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.22 : 3,942.25 = 1,678.07 : x
  2. Step 2: Convert to fraction form
    2,857.22/3,942.25 = 1,678.07/x
  3. Step 3: Cross multiply
    2,857.22x = 3,942.25 × 1,678.07
  4. Step 4: Simplify right side
    2,857.22x = 6,615,347.55
  5. Step 5: Solve for x
    x = 6,615,347.55/2,857.22
  6. Step 6: Final answer
    x = 2,315.31

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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.