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Finding the Fourth Proportional to 1,186.94, 1,768.54 and 1,057.61

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Solution

The fourth proportional to 1,186.94, 1,768.54 and 1,057.61 is: 1,575.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.94 : 1,768.54 = 1,057.61 : x
  2. Step 2: Convert to fraction form
    1,186.94/1,768.54 = 1,057.61/x
  3. Step 3: Cross multiply
    1,186.94x = 1,768.54 × 1,057.61
  4. Step 4: Simplify right side
    1,186.94x = 1,870,425.59
  5. Step 5: Solve for x
    x = 1,870,425.59/1,186.94
  6. Step 6: Final answer
    x = 1,575.84

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.