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Finding the Fourth Proportional to 2,391.70, 3,589.49 and 1,005.94

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Solution

The fourth proportional to 2,391.70, 3,589.49 and 1,005.94 is: 1,509.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,391.70 : 3,589.49 = 1,005.94 : x
  2. Step 2: Convert to fraction form
    2,391.70/3,589.49 = 1,005.94/x
  3. Step 3: Cross multiply
    2,391.70x = 3,589.49 × 1,005.94
  4. Step 4: Simplify right side
    2,391.70x = 3,610,825.84
  5. Step 5: Solve for x
    x = 3,610,825.84/2,391.70
  6. Step 6: Final answer
    x = 1,509.73

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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.