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Finding the Fourth Proportional to 2,157.04, 2,974.68 and 1,450.48

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Solution

The fourth proportional to 2,157.04, 2,974.68 and 1,450.48 is: 2,000.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157.04 : 2,974.68 = 1,450.48 : x
  2. Step 2: Convert to fraction form
    2,157.04/2,974.68 = 1,450.48/x
  3. Step 3: Cross multiply
    2,157.04x = 2,974.68 × 1,450.48
  4. Step 4: Simplify right side
    2,157.04x = 4,314,713.85
  5. Step 5: Solve for x
    x = 4,314,713.85/2,157.04
  6. Step 6: Final answer
    x = 2,000.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.