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Finding the Fourth Proportional to 1,900.05, 2,848.47 and 668.27

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Solution

The fourth proportional to 1,900.05, 2,848.47 and 668.27 is: 1,001.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,900.05 : 2,848.47 = 668.27 : x
  2. Step 2: Convert to fraction form
    1,900.05/2,848.47 = 668.27/x
  3. Step 3: Cross multiply
    1,900.05x = 2,848.47 × 668.27
  4. Step 4: Simplify right side
    1,900.05x = 1,903,532.80
  5. Step 5: Solve for x
    x = 1,903,532.80/1,900.05
  6. Step 6: Final answer
    x = 1,001.84

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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.