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Finding the Fourth Proportional to 2,382.58, 3,288.18 and 1,334.98

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Solution

The fourth proportional to 2,382.58, 3,288.18 and 1,334.98 is: 1,842.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,382.58 : 3,288.18 = 1,334.98 : x
  2. Step 2: Convert to fraction form
    2,382.58/3,288.18 = 1,334.98/x
  3. Step 3: Cross multiply
    2,382.58x = 3,288.18 × 1,334.98
  4. Step 4: Simplify right side
    2,382.58x = 4,389,654.54
  5. Step 5: Solve for x
    x = 4,389,654.54/2,382.58
  6. Step 6: Final answer
    x = 1,842.40

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Why These Related Problems?

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