Home / 1,585.92-2,372.64-1,176

Finding the Fourth Proportional to 1,585.92, 2,372.64 and 1,176

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Solution

The fourth proportional to 1,585.92, 2,372.64 and 1,176 is: 1,759.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.92 : 2,372.64 = 1,176 : x
  2. Step 2: Convert to fraction form
    1,585.92/2,372.64 = 1,176/x
  3. Step 3: Cross multiply
    1,585.92x = 2,372.64 × 1,176
  4. Step 4: Simplify right side
    1,585.92x = 2,790,224.64
  5. Step 5: Solve for x
    x = 2,790,224.64/1,585.92
  6. Step 6: Final answer
    x = 1,759.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.