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Finding the Fourth Proportional to 1,392.89, 1,917.81 and 1,182.65

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Solution

The fourth proportional to 1,392.89, 1,917.81 and 1,182.65 is: 1,628.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,392.89 : 1,917.81 = 1,182.65 : x
  2. Step 2: Convert to fraction form
    1,392.89/1,917.81 = 1,182.65/x
  3. Step 3: Cross multiply
    1,392.89x = 1,917.81 × 1,182.65
  4. Step 4: Simplify right side
    1,392.89x = 2,268,088.41
  5. Step 5: Solve for x
    x = 2,268,088.41/1,392.89
  6. Step 6: Final answer
    x = 1,628.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.