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Finding the Fourth Proportional to 2,458.44, 3,684.05 and 1,418.76

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Solution

The fourth proportional to 2,458.44, 3,684.05 and 1,418.76 is: 2,126.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,458.44 : 3,684.05 = 1,418.76 : x
  2. Step 2: Convert to fraction form
    2,458.44/3,684.05 = 1,418.76/x
  3. Step 3: Cross multiply
    2,458.44x = 3,684.05 × 1,418.76
  4. Step 4: Simplify right side
    2,458.44x = 5,226,782.78
  5. Step 5: Solve for x
    x = 5,226,782.78/2,458.44
  6. Step 6: Final answer
    x = 2,126.06

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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.