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Finding the Fourth Proportional to 2,539.68, 3,506.27 and 1,596.27

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Solution

The fourth proportional to 2,539.68, 3,506.27 and 1,596.27 is: 2,203.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,539.68 : 3,506.27 = 1,596.27 : x
  2. Step 2: Convert to fraction form
    2,539.68/3,506.27 = 1,596.27/x
  3. Step 3: Cross multiply
    2,539.68x = 3,506.27 × 1,596.27
  4. Step 4: Simplify right side
    2,539.68x = 5,596,928.10
  5. Step 5: Solve for x
    x = 5,596,928.10/2,539.68
  6. Step 6: Final answer
    x = 2,203.80

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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.