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Finding the Fourth Proportional to 2,538.63, 3,809.08 and 1,613.94

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Solution

The fourth proportional to 2,538.63, 3,809.08 and 1,613.94 is: 2,421.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,538.63 : 3,809.08 = 1,613.94 : x
  2. Step 2: Convert to fraction form
    2,538.63/3,809.08 = 1,613.94/x
  3. Step 3: Cross multiply
    2,538.63x = 3,809.08 × 1,613.94
  4. Step 4: Simplify right side
    2,538.63x = 6,147,626.58
  5. Step 5: Solve for x
    x = 6,147,626.58/2,538.63
  6. Step 6: Final answer
    x = 2,421.63

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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.