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Finding the Fourth Proportional to 1,975.92, 2,961.51 and 879.04

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Solution

The fourth proportional to 1,975.92, 2,961.51 and 879.04 is: 1,317.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,975.92 : 2,961.51 = 879.04 : x
  2. Step 2: Convert to fraction form
    1,975.92/2,961.51 = 879.04/x
  3. Step 3: Cross multiply
    1,975.92x = 2,961.51 × 879.04
  4. Step 4: Simplify right side
    1,975.92x = 2,603,285.75
  5. Step 5: Solve for x
    x = 2,603,285.75/1,975.92
  6. Step 6: Final answer
    x = 1,317.51

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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.