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Finding the Fourth Proportional to 2,614.89, 3,923.01 and 971.49

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Solution

The fourth proportional to 2,614.89, 3,923.01 and 971.49 is: 1,457.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,614.89 : 3,923.01 = 971.49 : x
  2. Step 2: Convert to fraction form
    2,614.89/3,923.01 = 971.49/x
  3. Step 3: Cross multiply
    2,614.89x = 3,923.01 × 971.49
  4. Step 4: Simplify right side
    2,614.89x = 3,811,164.98
  5. Step 5: Solve for x
    x = 3,811,164.98/2,614.89
  6. Step 6: Final answer
    x = 1,457.49

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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.