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Finding the Fourth Proportional to 1,636.53, 2,271.68 and 1,597.65

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Solution

The fourth proportional to 1,636.53, 2,271.68 and 1,597.65 is: 2,217.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,636.53 : 2,271.68 = 1,597.65 : x
  2. Step 2: Convert to fraction form
    1,636.53/2,271.68 = 1,597.65/x
  3. Step 3: Cross multiply
    1,636.53x = 2,271.68 × 1,597.65
  4. Step 4: Simplify right side
    1,636.53x = 3,629,341.56
  5. Step 5: Solve for x
    x = 3,629,341.56/1,636.53
  6. Step 6: Final answer
    x = 2,217.71

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.