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Finding the Fourth Proportional to 1,398.09, 2,097.11 and 1,180.13

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Solution

The fourth proportional to 1,398.09, 2,097.11 and 1,180.13 is: 1,770.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.09 : 2,097.11 = 1,180.13 : x
  2. Step 2: Convert to fraction form
    1,398.09/2,097.11 = 1,180.13/x
  3. Step 3: Cross multiply
    1,398.09x = 2,097.11 × 1,180.13
  4. Step 4: Simplify right side
    1,398.09x = 2,474,846.04
  5. Step 5: Solve for x
    x = 2,474,846.04/1,398.09
  6. Step 6: Final answer
    x = 1,770.16

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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.