Home / 1,558.12-2,337.86-827.52

Finding the Fourth Proportional to 1,558.12, 2,337.86 and 827.52

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Solution

The fourth proportional to 1,558.12, 2,337.86 and 827.52 is: 1,241.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,558.12 : 2,337.86 = 827.52 : x
  2. Step 2: Convert to fraction form
    1,558.12/2,337.86 = 827.52/x
  3. Step 3: Cross multiply
    1,558.12x = 2,337.86 × 827.52
  4. Step 4: Simplify right side
    1,558.12x = 1,934,625.91
  5. Step 5: Solve for x
    x = 1,934,625.91/1,558.12
  6. Step 6: Final answer
    x = 1,241.64

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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.