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Finding the Fourth Proportional to 1,818.80, 2,728.55 and 586.11

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Solution

The fourth proportional to 1,818.80, 2,728.55 and 586.11 is: 879.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,818.80 : 2,728.55 = 586.11 : x
  2. Step 2: Convert to fraction form
    1,818.80/2,728.55 = 586.11/x
  3. Step 3: Cross multiply
    1,818.80x = 2,728.55 × 586.11
  4. Step 4: Simplify right side
    1,818.80x = 1,599,231.91
  5. Step 5: Solve for x
    x = 1,599,231.91/1,818.80
  6. Step 6: Final answer
    x = 879.28

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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.