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Finding the Fourth Proportional to 2,546.78, 3,820.98 and 1,623.14

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Solution

The fourth proportional to 2,546.78, 3,820.98 and 1,623.14 is: 2,435.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546.78 : 3,820.98 = 1,623.14 : x
  2. Step 2: Convert to fraction form
    2,546.78/3,820.98 = 1,623.14/x
  3. Step 3: Cross multiply
    2,546.78x = 3,820.98 × 1,623.14
  4. Step 4: Simplify right side
    2,546.78x = 6,201,985.48
  5. Step 5: Solve for x
    x = 6,201,985.48/2,546.78
  6. Step 6: Final answer
    x = 2,435.23

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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.