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Finding the Fourth Proportional to 1,900.17, 2,851.40 and 668.50

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Solution

The fourth proportional to 1,900.17, 2,851.40 and 668.50 is: 1,003.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,900.17 : 2,851.40 = 668.50 : x
  2. Step 2: Convert to fraction form
    1,900.17/2,851.40 = 668.50/x
  3. Step 3: Cross multiply
    1,900.17x = 2,851.40 × 668.50
  4. Step 4: Simplify right side
    1,900.17x = 1,906,155.44
  5. Step 5: Solve for x
    x = 1,906,155.44/1,900.17
  6. Step 6: Final answer
    x = 1,003.15

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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.