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Finding the Fourth Proportional to 2,214.16, 3,318.57 and 980.17

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Solution

The fourth proportional to 2,214.16, 3,318.57 and 980.17 is: 1,469.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214.16 : 3,318.57 = 980.17 : x
  2. Step 2: Convert to fraction form
    2,214.16/3,318.57 = 980.17/x
  3. Step 3: Cross multiply
    2,214.16x = 3,318.57 × 980.17
  4. Step 4: Simplify right side
    2,214.16x = 3,252,762.76
  5. Step 5: Solve for x
    x = 3,252,762.76/2,214.16
  6. Step 6: Final answer
    x = 1,469.07

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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.