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Finding the Fourth Proportional to 2,672.06, 4,006.53 and 1,027.22

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Solution

The fourth proportional to 2,672.06, 4,006.53 and 1,027.22 is: 1,540.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,672.06 : 4,006.53 = 1,027.22 : x
  2. Step 2: Convert to fraction form
    2,672.06/4,006.53 = 1,027.22/x
  3. Step 3: Cross multiply
    2,672.06x = 4,006.53 × 1,027.22
  4. Step 4: Simplify right side
    2,672.06x = 4,115,567.71
  5. Step 5: Solve for x
    x = 4,115,567.71/2,672.06
  6. Step 6: Final answer
    x = 1,540.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.