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Finding the Fourth Proportional to 2,596.17, 3,892.67 and 1,036.41

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Solution

The fourth proportional to 2,596.17, 3,892.67 and 1,036.41 is: 1,553.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.17 : 3,892.67 = 1,036.41 : x
  2. Step 2: Convert to fraction form
    2,596.17/3,892.67 = 1,036.41/x
  3. Step 3: Cross multiply
    2,596.17x = 3,892.67 × 1,036.41
  4. Step 4: Simplify right side
    2,596.17x = 4,034,402.11
  5. Step 5: Solve for x
    x = 4,034,402.11/2,596.17
  6. Step 6: Final answer
    x = 1,553.98

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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.