Home / 1,584.07-2,183.11-1,052

Finding the Fourth Proportional to 1,584.07, 2,183.11 and 1,052

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Solution

The fourth proportional to 1,584.07, 2,183.11 and 1,052 is: 1,449.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.07 : 2,183.11 = 1,052 : x
  2. Step 2: Convert to fraction form
    1,584.07/2,183.11 = 1,052/x
  3. Step 3: Cross multiply
    1,584.07x = 2,183.11 × 1,052
  4. Step 4: Simplify right side
    1,584.07x = 2,296,631.72
  5. Step 5: Solve for x
    x = 2,296,631.72/1,584.07
  6. Step 6: Final answer
    x = 1,449.83

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Why These Related Problems?

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