Home / 1,784.94-2,464.35-1,155.78

Finding the Fourth Proportional to 1,784.94, 2,464.35 and 1,155.78

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Solution

The fourth proportional to 1,784.94, 2,464.35 and 1,155.78 is: 1,595.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.94 : 2,464.35 = 1,155.78 : x
  2. Step 2: Convert to fraction form
    1,784.94/2,464.35 = 1,155.78/x
  3. Step 3: Cross multiply
    1,784.94x = 2,464.35 × 1,155.78
  4. Step 4: Simplify right side
    1,784.94x = 2,848,246.44
  5. Step 5: Solve for x
    x = 2,848,246.44/1,784.94
  6. Step 6: Final answer
    x = 1,595.71

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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.