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Finding the Fourth Proportional to 2,474.99, 3,712.90 and 1,176.02

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Solution

The fourth proportional to 2,474.99, 3,712.90 and 1,176.02 is: 1,764.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474.99 : 3,712.90 = 1,176.02 : x
  2. Step 2: Convert to fraction form
    2,474.99/3,712.90 = 1,176.02/x
  3. Step 3: Cross multiply
    2,474.99x = 3,712.90 × 1,176.02
  4. Step 4: Simplify right side
    2,474.99x = 4,366,451.00
  5. Step 5: Solve for x
    x = 4,366,451.00/2,474.99
  6. Step 6: Final answer
    x = 1,764.23

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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.