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Finding the Fourth Proportional to 2,128.47, 3,190.01 and 1,512.31

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Solution

The fourth proportional to 2,128.47, 3,190.01 and 1,512.31 is: 2,266.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.47 : 3,190.01 = 1,512.31 : x
  2. Step 2: Convert to fraction form
    2,128.47/3,190.01 = 1,512.31/x
  3. Step 3: Cross multiply
    2,128.47x = 3,190.01 × 1,512.31
  4. Step 4: Simplify right side
    2,128.47x = 4,824,284.02
  5. Step 5: Solve for x
    x = 4,824,284.02/2,128.47
  6. Step 6: Final answer
    x = 2,266.55

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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.