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Finding the Fourth Proportional to 2,112.08, 3,168.58 and 631.42

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Solution

The fourth proportional to 2,112.08, 3,168.58 and 631.42 is: 947.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.08 : 3,168.58 = 631.42 : x
  2. Step 2: Convert to fraction form
    2,112.08/3,168.58 = 631.42/x
  3. Step 3: Cross multiply
    2,112.08x = 3,168.58 × 631.42
  4. Step 4: Simplify right side
    2,112.08x = 2,000,701.63
  5. Step 5: Solve for x
    x = 2,000,701.63/2,112.08
  6. Step 6: Final answer
    x = 947.27

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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.