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Finding the Fourth Proportional to 2,555.25, 3,833.80 and 1,257.63

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Solution

The fourth proportional to 2,555.25, 3,833.80 and 1,257.63 is: 1,886.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,555.25 : 3,833.80 = 1,257.63 : x
  2. Step 2: Convert to fraction form
    2,555.25/3,833.80 = 1,257.63/x
  3. Step 3: Cross multiply
    2,555.25x = 3,833.80 × 1,257.63
  4. Step 4: Simplify right side
    2,555.25x = 4,821,501.89
  5. Step 5: Solve for x
    x = 4,821,501.89/2,555.25
  6. Step 6: Final answer
    x = 1,886.90

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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.