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Finding the Fourth Proportional to 2,416.60, 3,624.90 and 1,120.60

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Solution

The fourth proportional to 2,416.60, 3,624.90 and 1,120.60 is: 1,680.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,416.60 : 3,624.90 = 1,120.60 : x
  2. Step 2: Convert to fraction form
    2,416.60/3,624.90 = 1,120.60/x
  3. Step 3: Cross multiply
    2,416.60x = 3,624.90 × 1,120.60
  4. Step 4: Simplify right side
    2,416.60x = 4,062,062.94
  5. Step 5: Solve for x
    x = 4,062,062.94/2,416.60
  6. Step 6: Final answer
    x = 1,680.90

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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.