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Finding the Fourth Proportional to 1,376.12, 2,054.28 and 1,179

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Solution

The fourth proportional to 1,376.12, 2,054.28 and 1,179 is: 1,760.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376.12 : 2,054.28 = 1,179 : x
  2. Step 2: Convert to fraction form
    1,376.12/2,054.28 = 1,179/x
  3. Step 3: Cross multiply
    1,376.12x = 2,054.28 × 1,179
  4. Step 4: Simplify right side
    1,376.12x = 2,422,000.54
  5. Step 5: Solve for x
    x = 2,422,000.54/1,376.12
  6. Step 6: Final answer
    x = 1,760.02

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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.