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Finding the Fourth Proportional to 2,614.71, 3,922.75 and 971.73

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Solution

The fourth proportional to 2,614.71, 3,922.75 and 971.73 is: 1,457.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,614.71 : 3,922.75 = 971.73 : x
  2. Step 2: Convert to fraction form
    2,614.71/3,922.75 = 971.73/x
  3. Step 3: Cross multiply
    2,614.71x = 3,922.75 × 971.73
  4. Step 4: Simplify right side
    2,614.71x = 3,811,849.00
  5. Step 5: Solve for x
    x = 3,811,849.00/2,614.71
  6. Step 6: Final answer
    x = 1,457.85

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1.5x scale

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.