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Finding the Fourth Proportional to 2,468.78, 3,704.25 and 1,298.51

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Solution

The fourth proportional to 2,468.78, 3,704.25 and 1,298.51 is: 1,948.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.78 : 3,704.25 = 1,298.51 : x
  2. Step 2: Convert to fraction form
    2,468.78/3,704.25 = 1,298.51/x
  3. Step 3: Cross multiply
    2,468.78x = 3,704.25 × 1,298.51
  4. Step 4: Simplify right side
    2,468.78x = 4,809,987.15
  5. Step 5: Solve for x
    x = 4,809,987.15/2,468.78
  6. Step 6: Final answer
    x = 1,948.33

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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.