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Finding the Fourth Proportional to 2,435.77, 3,654.23 and 792.32

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Solution

The fourth proportional to 2,435.77, 3,654.23 and 792.32 is: 1,188.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,435.77 : 3,654.23 = 792.32 : x
  2. Step 2: Convert to fraction form
    2,435.77/3,654.23 = 792.32/x
  3. Step 3: Cross multiply
    2,435.77x = 3,654.23 × 792.32
  4. Step 4: Simplify right side
    2,435.77x = 2,895,297.28
  5. Step 5: Solve for x
    x = 2,895,297.28/2,435.77
  6. Step 6: Final answer
    x = 1,188.66

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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.