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Finding the Fourth Proportional to 1,182.12, 1,772.94 and 1,123.58

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Solution

The fourth proportional to 1,182.12, 1,772.94 and 1,123.58 is: 1,685.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.12 : 1,772.94 = 1,123.58 : x
  2. Step 2: Convert to fraction form
    1,182.12/1,772.94 = 1,123.58/x
  3. Step 3: Cross multiply
    1,182.12x = 1,772.94 × 1,123.58
  4. Step 4: Simplify right side
    1,182.12x = 1,992,039.93
  5. Step 5: Solve for x
    x = 1,992,039.93/1,182.12
  6. Step 6: Final answer
    x = 1,685.14

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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.