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Finding the Fourth Proportional to 1,186.17, 1,775.37 and 1,072.49

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Solution

The fourth proportional to 1,186.17, 1,775.37 and 1,072.49 is: 1,605.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.17 : 1,775.37 = 1,072.49 : x
  2. Step 2: Convert to fraction form
    1,186.17/1,775.37 = 1,072.49/x
  3. Step 3: Cross multiply
    1,186.17x = 1,775.37 × 1,072.49
  4. Step 4: Simplify right side
    1,186.17x = 1,904,066.57
  5. Step 5: Solve for x
    x = 1,904,066.57/1,186.17
  6. Step 6: Final answer
    x = 1,605.22

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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.