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Finding the Fourth Proportional to 2,396.52, 3,594.60 and 1,957.14

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Solution

The fourth proportional to 2,396.52, 3,594.60 and 1,957.14 is: 2,935.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,396.52 : 3,594.60 = 1,957.14 : x
  2. Step 2: Convert to fraction form
    2,396.52/3,594.60 = 1,957.14/x
  3. Step 3: Cross multiply
    2,396.52x = 3,594.60 × 1,957.14
  4. Step 4: Simplify right side
    2,396.52x = 7,035,135.44
  5. Step 5: Solve for x
    x = 7,035,135.44/2,396.52
  6. Step 6: Final answer
    x = 2,935.56

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Why These Related Problems?

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