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Finding the Fourth Proportional to 2,707.80, 4,062.53 and 1,146.99

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Solution

The fourth proportional to 2,707.80, 4,062.53 and 1,146.99 is: 1,720.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707.80 : 4,062.53 = 1,146.99 : x
  2. Step 2: Convert to fraction form
    2,707.80/4,062.53 = 1,146.99/x
  3. Step 3: Cross multiply
    2,707.80x = 4,062.53 × 1,146.99
  4. Step 4: Simplify right side
    2,707.80x = 4,659,675.55
  5. Step 5: Solve for x
    x = 4,659,675.55/2,707.80
  6. Step 6: Final answer
    x = 1,720.83

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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.