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Finding the Fourth Proportional to 1,879.42, 2,818.89 and 580.86

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Solution

The fourth proportional to 1,879.42, 2,818.89 and 580.86 is: 871.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,879.42 : 2,818.89 = 580.86 : x
  2. Step 2: Convert to fraction form
    1,879.42/2,818.89 = 580.86/x
  3. Step 3: Cross multiply
    1,879.42x = 2,818.89 × 580.86
  4. Step 4: Simplify right side
    1,879.42x = 1,637,380.45
  5. Step 5: Solve for x
    x = 1,637,380.45/1,879.42
  6. Step 6: Final answer
    x = 871.22

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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.