Home / 2,416.26-3,624.42-856.23

Finding the Fourth Proportional to 2,416.26, 3,624.42 and 856.23

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Solution

The fourth proportional to 2,416.26, 3,624.42 and 856.23 is: 1,284.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,416.26 : 3,624.42 = 856.23 : x
  2. Step 2: Convert to fraction form
    2,416.26/3,624.42 = 856.23/x
  3. Step 3: Cross multiply
    2,416.26x = 3,624.42 × 856.23
  4. Step 4: Simplify right side
    2,416.26x = 3,103,337.14
  5. Step 5: Solve for x
    x = 3,103,337.14/2,416.26
  6. Step 6: Final answer
    x = 1,284.36

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1.5x scale

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.