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Finding the Fourth Proportional to 2,410.39, 3,612.80 and 1,109.13

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Solution

The fourth proportional to 2,410.39, 3,612.80 and 1,109.13 is: 1,662.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,410.39 : 3,612.80 = 1,109.13 : x
  2. Step 2: Convert to fraction form
    2,410.39/3,612.80 = 1,109.13/x
  3. Step 3: Cross multiply
    2,410.39x = 3,612.80 × 1,109.13
  4. Step 4: Simplify right side
    2,410.39x = 4,007,054.09
  5. Step 5: Solve for x
    x = 4,007,054.09/2,410.39
  6. Step 6: Final answer
    x = 1,662.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.