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Finding the Fourth Proportional to 2,469.46, 3,409.06 and 1,630.70

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Solution

The fourth proportional to 2,469.46, 3,409.06 and 1,630.70 is: 2,251.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.46 : 3,409.06 = 1,630.70 : x
  2. Step 2: Convert to fraction form
    2,469.46/3,409.06 = 1,630.70/x
  3. Step 3: Cross multiply
    2,469.46x = 3,409.06 × 1,630.70
  4. Step 4: Simplify right side
    2,469.46x = 5,559,154.14
  5. Step 5: Solve for x
    x = 5,559,154.14/2,469.46
  6. Step 6: Final answer
    x = 2,251.16

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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.