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Finding the Fourth Proportional to 2,984.82, 4,475.10 and 1,318.14

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Solution

The fourth proportional to 2,984.82, 4,475.10 and 1,318.14 is: 1,976.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,984.82 : 4,475.10 = 1,318.14 : x
  2. Step 2: Convert to fraction form
    2,984.82/4,475.10 = 1,318.14/x
  3. Step 3: Cross multiply
    2,984.82x = 4,475.10 × 1,318.14
  4. Step 4: Simplify right side
    2,984.82x = 5,898,808.31
  5. Step 5: Solve for x
    x = 5,898,808.31/2,984.82
  6. Step 6: Final answer
    x = 1,976.27

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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.