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Finding the Fourth Proportional to 1,959.37, 2,938.09 and 971.05

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Solution

The fourth proportional to 1,959.37, 2,938.09 and 971.05 is: 1,456.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,959.37 : 2,938.09 = 971.05 : x
  2. Step 2: Convert to fraction form
    1,959.37/2,938.09 = 971.05/x
  3. Step 3: Cross multiply
    1,959.37x = 2,938.09 × 971.05
  4. Step 4: Simplify right side
    1,959.37x = 2,853,032.29
  5. Step 5: Solve for x
    x = 2,853,032.29/1,959.37
  6. Step 6: Final answer
    x = 1,456.10

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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.