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Finding the Fourth Proportional to 1,819.58, 2,729.89 and 586.96

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Solution

The fourth proportional to 1,819.58, 2,729.89 and 586.96 is: 880.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,819.58 : 2,729.89 = 586.96 : x
  2. Step 2: Convert to fraction form
    1,819.58/2,729.89 = 586.96/x
  3. Step 3: Cross multiply
    1,819.58x = 2,729.89 × 586.96
  4. Step 4: Simplify right side
    1,819.58x = 1,602,330.88
  5. Step 5: Solve for x
    x = 1,602,330.88/1,819.58
  6. Step 6: Final answer
    x = 880.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.