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Finding the Fourth Proportional to 2,540.94, 3,804.93 and 1,239

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Solution

The fourth proportional to 2,540.94, 3,804.93 and 1,239 is: 1,855.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,540.94 : 3,804.93 = 1,239 : x
  2. Step 2: Convert to fraction form
    2,540.94/3,804.93 = 1,239/x
  3. Step 3: Cross multiply
    2,540.94x = 3,804.93 × 1,239
  4. Step 4: Simplify right side
    2,540.94x = 4,714,308.27
  5. Step 5: Solve for x
    x = 4,714,308.27/2,540.94
  6. Step 6: Final answer
    x = 1,855.34

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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.