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Finding the Fourth Proportional to 2,596.28, 3,885.30 and 2,235.42

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Solution

The fourth proportional to 2,596.28, 3,885.30 and 2,235.42 is: 3,345.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.28 : 3,885.30 = 2,235.42 : x
  2. Step 2: Convert to fraction form
    2,596.28/3,885.30 = 2,235.42/x
  3. Step 3: Cross multiply
    2,596.28x = 3,885.30 × 2,235.42
  4. Step 4: Simplify right side
    2,596.28x = 8,685,277.33
  5. Step 5: Solve for x
    x = 8,685,277.33/2,596.28
  6. Step 6: Final answer
    x = 3,345.28

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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.