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Finding the Fourth Proportional to 1,358.28, 1,873.41 and 1,180.86

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Solution

The fourth proportional to 1,358.28, 1,873.41 and 1,180.86 is: 1,628.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358.28 : 1,873.41 = 1,180.86 : x
  2. Step 2: Convert to fraction form
    1,358.28/1,873.41 = 1,180.86/x
  3. Step 3: Cross multiply
    1,358.28x = 1,873.41 × 1,180.86
  4. Step 4: Simplify right side
    1,358.28x = 2,212,234.93
  5. Step 5: Solve for x
    x = 2,212,234.93/1,358.28
  6. Step 6: Final answer
    x = 1,628.70

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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.