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Finding the Fourth Proportional to 2,497.68, 3,446.90 and 1,449.72

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Solution

The fourth proportional to 2,497.68, 3,446.90 and 1,449.72 is: 2,000.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.68 : 3,446.90 = 1,449.72 : x
  2. Step 2: Convert to fraction form
    2,497.68/3,446.90 = 1,449.72/x
  3. Step 3: Cross multiply
    2,497.68x = 3,446.90 × 1,449.72
  4. Step 4: Simplify right side
    2,497.68x = 4,997,039.87
  5. Step 5: Solve for x
    x = 4,997,039.87/2,497.68
  6. Step 6: Final answer
    x = 2,000.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.