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Finding the Fourth Proportional to 2,626.49, 3,624.80 and 1,962.18

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Solution

The fourth proportional to 2,626.49, 3,624.80 and 1,962.18 is: 2,707.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,626.49 : 3,624.80 = 1,962.18 : x
  2. Step 2: Convert to fraction form
    2,626.49/3,624.80 = 1,962.18/x
  3. Step 3: Cross multiply
    2,626.49x = 3,624.80 × 1,962.18
  4. Step 4: Simplify right side
    2,626.49x = 7,112,500.25
  5. Step 5: Solve for x
    x = 7,112,500.25/2,626.49
  6. Step 6: Final answer
    x = 2,707.99

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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.