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Finding the Fourth Proportional to 1,819.64, 2,729.20 and 586.89

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Solution

The fourth proportional to 1,819.64, 2,729.20 and 586.89 is: 880.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,819.64 : 2,729.20 = 586.89 : x
  2. Step 2: Convert to fraction form
    1,819.64/2,729.20 = 586.89/x
  3. Step 3: Cross multiply
    1,819.64x = 2,729.20 × 586.89
  4. Step 4: Simplify right side
    1,819.64x = 1,601,740.19
  5. Step 5: Solve for x
    x = 1,601,740.19/1,819.64
  6. Step 6: Final answer
    x = 880.25

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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.