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Finding the Fourth Proportional to 2,675.98, 4,016.58 and 1,446.02

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Solution

The fourth proportional to 2,675.98, 4,016.58 and 1,446.02 is: 2,170.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,675.98 : 4,016.58 = 1,446.02 : x
  2. Step 2: Convert to fraction form
    2,675.98/4,016.58 = 1,446.02/x
  3. Step 3: Cross multiply
    2,675.98x = 4,016.58 × 1,446.02
  4. Step 4: Simplify right side
    2,675.98x = 5,808,055.01
  5. Step 5: Solve for x
    x = 5,808,055.01/2,675.98
  6. Step 6: Final answer
    x = 2,170.44

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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.