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Finding the Fourth Proportional to 3,174.93, 4,379.93 and 2,056.23

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Solution

The fourth proportional to 3,174.93, 4,379.93 and 2,056.23 is: 2,836.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.93 : 4,379.93 = 2,056.23 : x
  2. Step 2: Convert to fraction form
    3,174.93/4,379.93 = 2,056.23/x
  3. Step 3: Cross multiply
    3,174.93x = 4,379.93 × 2,056.23
  4. Step 4: Simplify right side
    3,174.93x = 9,006,148.60
  5. Step 5: Solve for x
    x = 9,006,148.60/3,174.93
  6. Step 6: Final answer
    x = 2,836.64

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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.