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Finding the Fourth Proportional to 2,416.02, 3,624.06 and 684.64

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Solution

The fourth proportional to 2,416.02, 3,624.06 and 684.64 is: 1,026.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,416.02 : 3,624.06 = 684.64 : x
  2. Step 2: Convert to fraction form
    2,416.02/3,624.06 = 684.64/x
  3. Step 3: Cross multiply
    2,416.02x = 3,624.06 × 684.64
  4. Step 4: Simplify right side
    2,416.02x = 2,481,176.44
  5. Step 5: Solve for x
    x = 2,481,176.44/2,416.02
  6. Step 6: Final answer
    x = 1,026.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.