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Finding the Fourth Proportional to 1,589.82, 2,204.18 and 1,506.79

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Solution

The fourth proportional to 1,589.82, 2,204.18 and 1,506.79 is: 2,089.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.82 : 2,204.18 = 1,506.79 : x
  2. Step 2: Convert to fraction form
    1,589.82/2,204.18 = 1,506.79/x
  3. Step 3: Cross multiply
    1,589.82x = 2,204.18 × 1,506.79
  4. Step 4: Simplify right side
    1,589.82x = 3,321,236.38
  5. Step 5: Solve for x
    x = 3,321,236.38/1,589.82
  6. Step 6: Final answer
    x = 2,089.06

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.