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Finding the Fourth Proportional to 2,596.98, 3,892.23 and 1,298.82

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Solution

The fourth proportional to 2,596.98, 3,892.23 and 1,298.82 is: 1,946.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.98 : 3,892.23 = 1,298.82 : x
  2. Step 2: Convert to fraction form
    2,596.98/3,892.23 = 1,298.82/x
  3. Step 3: Cross multiply
    2,596.98x = 3,892.23 × 1,298.82
  4. Step 4: Simplify right side
    2,596.98x = 5,055,306.17
  5. Step 5: Solve for x
    x = 5,055,306.17/2,596.98
  6. Step 6: Final answer
    x = 1,946.61

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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.