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Finding the Fourth Proportional to 2,411.14, 3,613.90 and 1,109.86

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Solution

The fourth proportional to 2,411.14, 3,613.90 and 1,109.86 is: 1,663.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,411.14 : 3,613.90 = 1,109.86 : x
  2. Step 2: Convert to fraction form
    2,411.14/3,613.90 = 1,109.86/x
  3. Step 3: Cross multiply
    2,411.14x = 3,613.90 × 1,109.86
  4. Step 4: Simplify right side
    2,411.14x = 4,010,923.05
  5. Step 5: Solve for x
    x = 4,010,923.05/2,411.14
  6. Step 6: Final answer
    x = 1,663.50

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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.