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Finding the Fourth Proportional to 2,435.90, 3,656.87 and 1,619.42

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Solution

The fourth proportional to 2,435.90, 3,656.87 and 1,619.42 is: 2,431.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,435.90 : 3,656.87 = 1,619.42 : x
  2. Step 2: Convert to fraction form
    2,435.90/3,656.87 = 1,619.42/x
  3. Step 3: Cross multiply
    2,435.90x = 3,656.87 × 1,619.42
  4. Step 4: Simplify right side
    2,435.90x = 5,921,982.03
  5. Step 5: Solve for x
    x = 5,921,982.03/2,435.90
  6. Step 6: Final answer
    x = 2,431.13

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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.