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Finding the Fourth Proportional to 1,941.12, 2,911.86 and 624.88

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Solution

The fourth proportional to 1,941.12, 2,911.86 and 624.88 is: 937.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,941.12 : 2,911.86 = 624.88 : x
  2. Step 2: Convert to fraction form
    1,941.12/2,911.86 = 624.88/x
  3. Step 3: Cross multiply
    1,941.12x = 2,911.86 × 624.88
  4. Step 4: Simplify right side
    1,941.12x = 1,819,563.08
  5. Step 5: Solve for x
    x = 1,819,563.08/1,941.12
  6. Step 6: Final answer
    x = 937.38

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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.