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Finding the Fourth Proportional to 2,596.38, 3,894.12 and 1,014.72

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Solution

The fourth proportional to 2,596.38, 3,894.12 and 1,014.72 is: 1,521.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.38 : 3,894.12 = 1,014.72 : x
  2. Step 2: Convert to fraction form
    2,596.38/3,894.12 = 1,014.72/x
  3. Step 3: Cross multiply
    2,596.38x = 3,894.12 × 1,014.72
  4. Step 4: Simplify right side
    2,596.38x = 3,951,441.45
  5. Step 5: Solve for x
    x = 3,951,441.45/2,596.38
  6. Step 6: Final answer
    x = 1,521.90

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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.