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Finding the Fourth Proportional to 1,900.64, 2,852.11 and 667.95

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Solution

The fourth proportional to 1,900.64, 2,852.11 and 667.95 is: 1,002.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,900.64 : 2,852.11 = 667.95 : x
  2. Step 2: Convert to fraction form
    1,900.64/2,852.11 = 667.95/x
  3. Step 3: Cross multiply
    1,900.64x = 2,852.11 × 667.95
  4. Step 4: Simplify right side
    1,900.64x = 1,905,078.38
  5. Step 5: Solve for x
    x = 1,905,078.38/1,900.64
  6. Step 6: Final answer
    x = 1,002.34

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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.