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Finding the Fourth Proportional to 2,182.64, 3,011.97 and 1,187.89

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Solution

The fourth proportional to 2,182.64, 3,011.97 and 1,187.89 is: 1,639.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182.64 : 3,011.97 = 1,187.89 : x
  2. Step 2: Convert to fraction form
    2,182.64/3,011.97 = 1,187.89/x
  3. Step 3: Cross multiply
    2,182.64x = 3,011.97 × 1,187.89
  4. Step 4: Simplify right side
    2,182.64x = 3,577,889.04
  5. Step 5: Solve for x
    x = 3,577,889.04/2,182.64
  6. Step 6: Final answer
    x = 1,639.25

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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.