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Finding the Fourth Proportional to 1,896.14, 2,844.66 and 971.66

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Solution

The fourth proportional to 1,896.14, 2,844.66 and 971.66 is: 1,457.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,896.14 : 2,844.66 = 971.66 : x
  2. Step 2: Convert to fraction form
    1,896.14/2,844.66 = 971.66/x
  3. Step 3: Cross multiply
    1,896.14x = 2,844.66 × 971.66
  4. Step 4: Simplify right side
    1,896.14x = 2,764,042.34
  5. Step 5: Solve for x
    x = 2,764,042.34/1,896.14
  6. Step 6: Final answer
    x = 1,457.72

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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.