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Finding the Fourth Proportional to 2,819.64, 3,888.96 and 1,873.74

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Solution

The fourth proportional to 2,819.64, 3,888.96 and 1,873.74 is: 2,584.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,819.64 : 3,888.96 = 1,873.74 : x
  2. Step 2: Convert to fraction form
    2,819.64/3,888.96 = 1,873.74/x
  3. Step 3: Cross multiply
    2,819.64x = 3,888.96 × 1,873.74
  4. Step 4: Simplify right side
    2,819.64x = 7,286,899.91
  5. Step 5: Solve for x
    x = 7,286,899.91/2,819.64
  6. Step 6: Final answer
    x = 2,584.34

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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.