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Finding the Fourth Proportional to 2,191.90, 3,287.35 and 631.55

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Solution

The fourth proportional to 2,191.90, 3,287.35 and 631.55 is: 947.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191.90 : 3,287.35 = 631.55 : x
  2. Step 2: Convert to fraction form
    2,191.90/3,287.35 = 631.55/x
  3. Step 3: Cross multiply
    2,191.90x = 3,287.35 × 631.55
  4. Step 4: Simplify right side
    2,191.90x = 2,076,138.54
  5. Step 5: Solve for x
    x = 2,076,138.54/2,191.90
  6. Step 6: Final answer
    x = 947.19

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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.