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Finding the Fourth Proportional to 1,819.29, 2,728.97 and 586.81

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Solution

The fourth proportional to 1,819.29, 2,728.97 and 586.81 is: 880.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,819.29 : 2,728.97 = 586.81 : x
  2. Step 2: Convert to fraction form
    1,819.29/2,728.97 = 586.81/x
  3. Step 3: Cross multiply
    1,819.29x = 2,728.97 × 586.81
  4. Step 4: Simplify right side
    1,819.29x = 1,601,386.89
  5. Step 5: Solve for x
    x = 1,601,386.89/1,819.29
  6. Step 6: Final answer
    x = 880.23

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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.