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Finding the Fourth Proportional to 2,559.83, 3,842.37 and 1,588.23

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Solution

The fourth proportional to 2,559.83, 3,842.37 and 1,588.23 is: 2,383.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,559.83 : 3,842.37 = 1,588.23 : x
  2. Step 2: Convert to fraction form
    2,559.83/3,842.37 = 1,588.23/x
  3. Step 3: Cross multiply
    2,559.83x = 3,842.37 × 1,588.23
  4. Step 4: Simplify right side
    2,559.83x = 6,102,567.31
  5. Step 5: Solve for x
    x = 6,102,567.31/2,559.83
  6. Step 6: Final answer
    x = 2,383.97

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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.