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Finding the Fourth Proportional to 2,128.62, 2,940.12 and 1,538.22

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Solution

The fourth proportional to 2,128.62, 2,940.12 and 1,538.22 is: 2,124.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.62 : 2,940.12 = 1,538.22 : x
  2. Step 2: Convert to fraction form
    2,128.62/2,940.12 = 1,538.22/x
  3. Step 3: Cross multiply
    2,128.62x = 2,940.12 × 1,538.22
  4. Step 4: Simplify right side
    2,128.62x = 4,522,551.39
  5. Step 5: Solve for x
    x = 4,522,551.39/2,128.62
  6. Step 6: Final answer
    x = 2,124.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.