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Finding the Fourth Proportional to 1,818.96, 2,728.29 and 586.05

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Solution

The fourth proportional to 1,818.96, 2,728.29 and 586.05 is: 879.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,818.96 : 2,728.29 = 586.05 : x
  2. Step 2: Convert to fraction form
    1,818.96/2,728.29 = 586.05/x
  3. Step 3: Cross multiply
    1,818.96x = 2,728.29 × 586.05
  4. Step 4: Simplify right side
    1,818.96x = 1,598,914.35
  5. Step 5: Solve for x
    x = 1,598,914.35/1,818.96
  6. Step 6: Final answer
    x = 879.03

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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.