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Finding the Fourth Proportional to 2,895.29, 4,342.89 and 704.02

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Solution

The fourth proportional to 2,895.29, 4,342.89 and 704.02 is: 1,056.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,895.29 : 4,342.89 = 704.02 : x
  2. Step 2: Convert to fraction form
    2,895.29/4,342.89 = 704.02/x
  3. Step 3: Cross multiply
    2,895.29x = 4,342.89 × 704.02
  4. Step 4: Simplify right side
    2,895.29x = 3,057,473.20
  5. Step 5: Solve for x
    x = 3,057,473.20/2,895.29
  6. Step 6: Final answer
    x = 1,056.02

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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.