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Finding the Fourth Proportional to 1,968.62, 2,954.98 and 873.75

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Solution

The fourth proportional to 1,968.62, 2,954.98 and 873.75 is: 1,311.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,968.62 : 2,954.98 = 873.75 : x
  2. Step 2: Convert to fraction form
    1,968.62/2,954.98 = 873.75/x
  3. Step 3: Cross multiply
    1,968.62x = 2,954.98 × 873.75
  4. Step 4: Simplify right side
    1,968.62x = 2,581,925.95
  5. Step 5: Solve for x
    x = 2,581,925.95/1,968.62
  6. Step 6: Final answer
    x = 1,311.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.