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Finding the Fourth Proportional to 2,819.00, 3,890.16 and 1,577.00

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Solution

The fourth proportional to 2,819.00, 3,890.16 and 1,577.00 is: 2,176.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,819.00 : 3,890.16 = 1,577.00 : x
  2. Step 2: Convert to fraction form
    2,819.00/3,890.16 = 1,577.00/x
  3. Step 3: Cross multiply
    2,819.00x = 3,890.16 × 1,577.00
  4. Step 4: Simplify right side
    2,819.00x = 6,134,792.05
  5. Step 5: Solve for x
    x = 6,134,792.05/2,819.00
  6. Step 6: Final answer
    x = 2,176.23

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