Home / 2,823.10-4,235.10-1,178.80

Finding the Fourth Proportional to 2,823.10, 4,235.10 and 1,178.80

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Solution

The fourth proportional to 2,823.10, 4,235.10 and 1,178.80 is: 1,768.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,823.10 : 4,235.10 = 1,178.80 : x
  2. Step 2: Convert to fraction form
    2,823.10/4,235.10 = 1,178.80/x
  3. Step 3: Cross multiply
    2,823.10x = 4,235.10 × 1,178.80
  4. Step 4: Simplify right side
    2,823.10x = 4,992,335.88
  5. Step 5: Solve for x
    x = 4,992,335.88/2,823.10
  6. Step 6: Final answer
    x = 1,768.39

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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.