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Finding the Fourth Proportional to 2,266.12, 3,128 and 1,428.22

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Solution

The fourth proportional to 2,266.12, 3,128 and 1,428.22 is: 1,971.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.12 : 3,128 = 1,428.22 : x
  2. Step 2: Convert to fraction form
    2,266.12/3,128 = 1,428.22/x
  3. Step 3: Cross multiply
    2,266.12x = 3,128 × 1,428.22
  4. Step 4: Simplify right side
    2,266.12x = 4,467,472.16
  5. Step 5: Solve for x
    x = 4,467,472.16/2,266.12
  6. Step 6: Final answer
    x = 1,971.42

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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.