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Finding the Fourth Proportional to 2,382.98, 3,573.16 and 716.86

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Solution

The fourth proportional to 2,382.98, 3,573.16 and 716.86 is: 1,074.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,382.98 : 3,573.16 = 716.86 : x
  2. Step 2: Convert to fraction form
    2,382.98/3,573.16 = 716.86/x
  3. Step 3: Cross multiply
    2,382.98x = 3,573.16 × 716.86
  4. Step 4: Simplify right side
    2,382.98x = 2,561,442.09
  5. Step 5: Solve for x
    x = 2,561,442.09/2,382.98
  6. Step 6: Final answer
    x = 1,074.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.