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Finding the Fourth Proportional to 1,771.90, 2,657.40 and 949.75

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Solution

The fourth proportional to 1,771.90, 2,657.40 and 949.75 is: 1,424.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,771.90 : 2,657.40 = 949.75 : x
  2. Step 2: Convert to fraction form
    1,771.90/2,657.40 = 949.75/x
  3. Step 3: Cross multiply
    1,771.90x = 2,657.40 × 949.75
  4. Step 4: Simplify right side
    1,771.90x = 2,523,865.65
  5. Step 5: Solve for x
    x = 2,523,865.65/1,771.90
  6. Step 6: Final answer
    x = 1,424.38

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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.