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Finding the Fourth Proportional to 1,971.72, 2,958.06 and 739.48

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Solution

The fourth proportional to 1,971.72, 2,958.06 and 739.48 is: 1,109.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971.72 : 2,958.06 = 739.48 : x
  2. Step 2: Convert to fraction form
    1,971.72/2,958.06 = 739.48/x
  3. Step 3: Cross multiply
    1,971.72x = 2,958.06 × 739.48
  4. Step 4: Simplify right side
    1,971.72x = 2,187,426.21
  5. Step 5: Solve for x
    x = 2,187,426.21/1,971.72
  6. Step 6: Final answer
    x = 1,109.40

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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.