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Finding the Fourth Proportional to 2,435.68, 3,654.12 and 704.32

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Solution

The fourth proportional to 2,435.68, 3,654.12 and 704.32 is: 1,056.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,435.68 : 3,654.12 = 704.32 : x
  2. Step 2: Convert to fraction form
    2,435.68/3,654.12 = 704.32/x
  3. Step 3: Cross multiply
    2,435.68x = 3,654.12 × 704.32
  4. Step 4: Simplify right side
    2,435.68x = 2,573,669.80
  5. Step 5: Solve for x
    x = 2,573,669.80/2,435.68
  6. Step 6: Final answer
    x = 1,056.65

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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.