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Finding the Fourth Proportional to 2,410.50, 3,613.02 and 1,109.28

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Solution

The fourth proportional to 2,410.50, 3,613.02 and 1,109.28 is: 1,662.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,410.50 : 3,613.02 = 1,109.28 : x
  2. Step 2: Convert to fraction form
    2,410.50/3,613.02 = 1,109.28/x
  3. Step 3: Cross multiply
    2,410.50x = 3,613.02 × 1,109.28
  4. Step 4: Simplify right side
    2,410.50x = 4,007,850.83
  5. Step 5: Solve for x
    x = 4,007,850.83/2,410.50
  6. Step 6: Final answer
    x = 1,662.66

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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.