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Finding the Fourth Proportional to 1,589.10, 2,192.97 and 880.96

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Solution

The fourth proportional to 1,589.10, 2,192.97 and 880.96 is: 1,215.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.10 : 2,192.97 = 880.96 : x
  2. Step 2: Convert to fraction form
    1,589.10/2,192.97 = 880.96/x
  3. Step 3: Cross multiply
    1,589.10x = 2,192.97 × 880.96
  4. Step 4: Simplify right side
    1,589.10x = 1,931,907.89
  5. Step 5: Solve for x
    x = 1,931,907.89/1,589.10
  6. Step 6: Final answer
    x = 1,215.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.