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Finding the Fourth Proportional to 2,457.08, 3,682.71 and 2,429.67

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Solution

The fourth proportional to 2,457.08, 3,682.71 and 2,429.67 is: 3,641.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457.08 : 3,682.71 = 2,429.67 : x
  2. Step 2: Convert to fraction form
    2,457.08/3,682.71 = 2,429.67/x
  3. Step 3: Cross multiply
    2,457.08x = 3,682.71 × 2,429.67
  4. Step 4: Simplify right side
    2,457.08x = 8,947,770.01
  5. Step 5: Solve for x
    x = 8,947,770.01/2,457.08
  6. Step 6: Final answer
    x = 3,641.63

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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.