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Finding the Fourth Proportional to 1,882.01, 2,824.75 and 958.23

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Solution

The fourth proportional to 1,882.01, 2,824.75 and 958.23 is: 1,438.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.01 : 2,824.75 = 958.23 : x
  2. Step 2: Convert to fraction form
    1,882.01/2,824.75 = 958.23/x
  3. Step 3: Cross multiply
    1,882.01x = 2,824.75 × 958.23
  4. Step 4: Simplify right side
    1,882.01x = 2,706,755.40
  5. Step 5: Solve for x
    x = 2,706,755.40/1,882.01
  6. Step 6: Final answer
    x = 1,438.23

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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.