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Finding the Fourth Proportional to 2,597.82, 3,894.21 and 1,036.68

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Solution

The fourth proportional to 2,597.82, 3,894.21 and 1,036.68 is: 1,554.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.82 : 3,894.21 = 1,036.68 : x
  2. Step 2: Convert to fraction form
    2,597.82/3,894.21 = 1,036.68/x
  3. Step 3: Cross multiply
    2,597.82x = 3,894.21 × 1,036.68
  4. Step 4: Simplify right side
    2,597.82x = 4,037,049.62
  5. Step 5: Solve for x
    x = 4,037,049.62/2,597.82
  6. Step 6: Final answer
    x = 1,554.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.