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Finding the Fourth Proportional to 2,435.30, 3,652.91 and 2,279.64

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Solution

The fourth proportional to 2,435.30, 3,652.91 and 2,279.64 is: 3,419.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,435.30 : 3,652.91 = 2,279.64 : x
  2. Step 2: Convert to fraction form
    2,435.30/3,652.91 = 2,279.64/x
  3. Step 3: Cross multiply
    2,435.30x = 3,652.91 × 2,279.64
  4. Step 4: Simplify right side
    2,435.30x = 8,327,308.35
  5. Step 5: Solve for x
    x = 8,327,308.35/2,435.30
  6. Step 6: Final answer
    x = 3,419.42

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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.