Home / 2,416.46-3,624.30-857.60

Finding the Fourth Proportional to 2,416.46, 3,624.30 and 857.60

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Solution

The fourth proportional to 2,416.46, 3,624.30 and 857.60 is: 1,286.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,416.46 : 3,624.30 = 857.60 : x
  2. Step 2: Convert to fraction form
    2,416.46/3,624.30 = 857.60/x
  3. Step 3: Cross multiply
    2,416.46x = 3,624.30 × 857.60
  4. Step 4: Simplify right side
    2,416.46x = 3,108,199.68
  5. Step 5: Solve for x
    x = 3,108,199.68/2,416.46
  6. Step 6: Final answer
    x = 1,286.26

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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.