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Finding the Fourth Proportional to 3,191.83, 4,783.38 and 2,411.19

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Solution

The fourth proportional to 3,191.83, 4,783.38 and 2,411.19 is: 3,613.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,191.83 : 4,783.38 = 2,411.19 : x
  2. Step 2: Convert to fraction form
    3,191.83/4,783.38 = 2,411.19/x
  3. Step 3: Cross multiply
    3,191.83x = 4,783.38 × 2,411.19
  4. Step 4: Simplify right side
    3,191.83x = 11,533,649.21
  5. Step 5: Solve for x
    x = 11,533,649.21/3,191.83
  6. Step 6: Final answer
    x = 3,613.49

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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.