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Finding the Fourth Proportional to 1,518.85, 2,096.03 and 855.68

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Solution

The fourth proportional to 1,518.85, 2,096.03 and 855.68 is: 1,180.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,518.85 : 2,096.03 = 855.68 : x
  2. Step 2: Convert to fraction form
    1,518.85/2,096.03 = 855.68/x
  3. Step 3: Cross multiply
    1,518.85x = 2,096.03 × 855.68
  4. Step 4: Simplify right side
    1,518.85x = 1,793,526.67
  5. Step 5: Solve for x
    x = 1,793,526.67/1,518.85
  6. Step 6: Final answer
    x = 1,180.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.