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Finding the Fourth Proportional to 2,416.40, 3,624.60 and 856.42

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Solution

The fourth proportional to 2,416.40, 3,624.60 and 856.42 is: 1,284.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,416.40 : 3,624.60 = 856.42 : x
  2. Step 2: Convert to fraction form
    2,416.40/3,624.60 = 856.42/x
  3. Step 3: Cross multiply
    2,416.40x = 3,624.60 × 856.42
  4. Step 4: Simplify right side
    2,416.40x = 3,104,179.93
  5. Step 5: Solve for x
    x = 3,104,179.93/2,416.40
  6. Step 6: Final answer
    x = 1,284.63

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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.