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Finding the Fourth Proportional to 1,889.69, 2,830.75 and 965.21

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Solution

The fourth proportional to 1,889.69, 2,830.75 and 965.21 is: 1,445.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,889.69 : 2,830.75 = 965.21 : x
  2. Step 2: Convert to fraction form
    1,889.69/2,830.75 = 965.21/x
  3. Step 3: Cross multiply
    1,889.69x = 2,830.75 × 965.21
  4. Step 4: Simplify right side
    1,889.69x = 2,732,268.21
  5. Step 5: Solve for x
    x = 2,732,268.21/1,889.69
  6. Step 6: Final answer
    x = 1,445.88

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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.