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Finding the Fourth Proportional to 3,047.56, 4,207.26 and 2,383

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Solution

The fourth proportional to 3,047.56, 4,207.26 and 2,383 is: 3,289.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,047.56 : 4,207.26 = 2,383 : x
  2. Step 2: Convert to fraction form
    3,047.56/4,207.26 = 2,383/x
  3. Step 3: Cross multiply
    3,047.56x = 4,207.26 × 2,383
  4. Step 4: Simplify right side
    3,047.56x = 10,025,900.58
  5. Step 5: Solve for x
    x = 10,025,900.58/3,047.56
  6. Step 6: Final answer
    x = 3,289.81

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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.