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Finding the Fourth Proportional to 2,012.64, 3,021.54 and 1,400.28

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Solution

The fourth proportional to 2,012.64, 3,021.54 and 1,400.28 is: 2,102.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,012.64 : 3,021.54 = 1,400.28 : x
  2. Step 2: Convert to fraction form
    2,012.64/3,021.54 = 1,400.28/x
  3. Step 3: Cross multiply
    2,012.64x = 3,021.54 × 1,400.28
  4. Step 4: Simplify right side
    2,012.64x = 4,231,002.03
  5. Step 5: Solve for x
    x = 4,231,002.03/2,012.64
  6. Step 6: Final answer
    x = 2,102.22

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