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Finding the Fourth Proportional to 1,957.96, 2,704.35 and 1,425.99

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Solution

The fourth proportional to 1,957.96, 2,704.35 and 1,425.99 is: 1,969.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,957.96 : 2,704.35 = 1,425.99 : x
  2. Step 2: Convert to fraction form
    1,957.96/2,704.35 = 1,425.99/x
  3. Step 3: Cross multiply
    1,957.96x = 2,704.35 × 1,425.99
  4. Step 4: Simplify right side
    1,957.96x = 3,856,376.06
  5. Step 5: Solve for x
    x = 3,856,376.06/1,957.96
  6. Step 6: Final answer
    x = 1,969.59

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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.