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Finding the Fourth Proportional to 2,968.96, 4,450.68 and 1,870

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Solution

The fourth proportional to 2,968.96, 4,450.68 and 1,870 is: 2,803.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,968.96 : 4,450.68 = 1,870 : x
  2. Step 2: Convert to fraction form
    2,968.96/4,450.68 = 1,870/x
  3. Step 3: Cross multiply
    2,968.96x = 4,450.68 × 1,870
  4. Step 4: Simplify right side
    2,968.96x = 8,322,771.60
  5. Step 5: Solve for x
    x = 8,322,771.60/2,968.96
  6. Step 6: Final answer
    x = 2,803.26

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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.