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Finding the Fourth Proportional to 2,148.20, 2,964.20 and 1,203.86

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Solution

The fourth proportional to 2,148.20, 2,964.20 and 1,203.86 is: 1,661.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148.20 : 2,964.20 = 1,203.86 : x
  2. Step 2: Convert to fraction form
    2,148.20/2,964.20 = 1,203.86/x
  3. Step 3: Cross multiply
    2,148.20x = 2,964.20 × 1,203.86
  4. Step 4: Simplify right side
    2,148.20x = 3,568,460.97
  5. Step 5: Solve for x
    x = 3,568,460.97/2,148.20
  6. Step 6: Final answer
    x = 1,661.14

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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.