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Finding the Fourth Proportional to 2,055.23, 2,835.52 and 1,170.41

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Solution

The fourth proportional to 2,055.23, 2,835.52 and 1,170.41 is: 1,614.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,055.23 : 2,835.52 = 1,170.41 : x
  2. Step 2: Convert to fraction form
    2,055.23/2,835.52 = 1,170.41/x
  3. Step 3: Cross multiply
    2,055.23x = 2,835.52 × 1,170.41
  4. Step 4: Simplify right side
    2,055.23x = 3,318,710.44
  5. Step 5: Solve for x
    x = 3,318,710.44/2,055.23
  6. Step 6: Final answer
    x = 1,614.76

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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.