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Finding the Fourth Proportional to 2,191.23, 3,286.89 and 631.35

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Solution

The fourth proportional to 2,191.23, 3,286.89 and 631.35 is: 947.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191.23 : 3,286.89 = 631.35 : x
  2. Step 2: Convert to fraction form
    2,191.23/3,286.89 = 631.35/x
  3. Step 3: Cross multiply
    2,191.23x = 3,286.89 × 631.35
  4. Step 4: Simplify right side
    2,191.23x = 2,075,178.00
  5. Step 5: Solve for x
    x = 2,075,178.00/2,191.23
  6. Step 6: Final answer
    x = 947.04

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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.