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Finding the Fourth Proportional to 2,895.30, 4,342.92 and 704.04

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Solution

The fourth proportional to 2,895.30, 4,342.92 and 704.04 is: 1,056.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,895.30 : 4,342.92 = 704.04 : x
  2. Step 2: Convert to fraction form
    2,895.30/4,342.92 = 704.04/x
  3. Step 3: Cross multiply
    2,895.30x = 4,342.92 × 704.04
  4. Step 4: Simplify right side
    2,895.30x = 3,057,589.40
  5. Step 5: Solve for x
    x = 3,057,589.40/2,895.30
  6. Step 6: Final answer
    x = 1,056.05

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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.