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Finding the Fourth Proportional to 1,971.56, 2,960.70 and 1,889

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Solution

The fourth proportional to 1,971.56, 2,960.70 and 1,889 is: 2,836.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971.56 : 2,960.70 = 1,889 : x
  2. Step 2: Convert to fraction form
    1,971.56/2,960.70 = 1,889/x
  3. Step 3: Cross multiply
    1,971.56x = 2,960.70 × 1,889
  4. Step 4: Simplify right side
    1,971.56x = 5,592,762.30
  5. Step 5: Solve for x
    x = 5,592,762.30/1,971.56
  6. Step 6: Final answer
    x = 2,836.72

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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.