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Finding the Fourth Proportional to 1,886.33, 2,819.56 and 1,637.54

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Solution

The fourth proportional to 1,886.33, 2,819.56 and 1,637.54 is: 2,447.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,886.33 : 2,819.56 = 1,637.54 : x
  2. Step 2: Convert to fraction form
    1,886.33/2,819.56 = 1,637.54/x
  3. Step 3: Cross multiply
    1,886.33x = 2,819.56 × 1,637.54
  4. Step 4: Simplify right side
    1,886.33x = 4,617,142.28
  5. Step 5: Solve for x
    x = 4,617,142.28/1,886.33
  6. Step 6: Final answer
    x = 2,447.69

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.