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Finding the Fourth Proportional to 2,624.84, 3,937.26 and 982.16

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Solution

The fourth proportional to 2,624.84, 3,937.26 and 982.16 is: 1,473.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,624.84 : 3,937.26 = 982.16 : x
  2. Step 2: Convert to fraction form
    2,624.84/3,937.26 = 982.16/x
  3. Step 3: Cross multiply
    2,624.84x = 3,937.26 × 982.16
  4. Step 4: Simplify right side
    2,624.84x = 3,867,019.28
  5. Step 5: Solve for x
    x = 3,867,019.28/2,624.84
  6. Step 6: Final answer
    x = 1,473.24

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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.