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Finding the Fourth Proportional to 2,416.27, 3,624.44 and 684.89

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Solution

The fourth proportional to 2,416.27, 3,624.44 and 684.89 is: 1,027.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,416.27 : 3,624.44 = 684.89 : x
  2. Step 2: Convert to fraction form
    2,416.27/3,624.44 = 684.89/x
  3. Step 3: Cross multiply
    2,416.27x = 3,624.44 × 684.89
  4. Step 4: Simplify right side
    2,416.27x = 2,482,339.29
  5. Step 5: Solve for x
    x = 2,482,339.29/2,416.27
  6. Step 6: Final answer
    x = 1,027.35

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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.