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Finding the Fourth Proportional to 1,968.42, 2,950.18 and 1,748.50

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Solution

The fourth proportional to 1,968.42, 2,950.18 and 1,748.50 is: 2,620.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,968.42 : 2,950.18 = 1,748.50 : x
  2. Step 2: Convert to fraction form
    1,968.42/2,950.18 = 1,748.50/x
  3. Step 3: Cross multiply
    1,968.42x = 2,950.18 × 1,748.50
  4. Step 4: Simplify right side
    1,968.42x = 5,158,389.73
  5. Step 5: Solve for x
    x = 5,158,389.73/1,968.42
  6. Step 6: Final answer
    x = 2,620.57

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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.