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Finding the Fourth Proportional to 1,900.62, 2,845.68 and 974.18

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Solution

The fourth proportional to 1,900.62, 2,845.68 and 974.18 is: 1,458.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,900.62 : 2,845.68 = 974.18 : x
  2. Step 2: Convert to fraction form
    1,900.62/2,845.68 = 974.18/x
  3. Step 3: Cross multiply
    1,900.62x = 2,845.68 × 974.18
  4. Step 4: Simplify right side
    1,900.62x = 2,772,197.33
  5. Step 5: Solve for x
    x = 2,772,197.33/1,900.62
  6. Step 6: Final answer
    x = 1,458.58

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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.