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Finding the Fourth Proportional to 3,114.88, 4,668.60 and 2,382.24

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Solution

The fourth proportional to 3,114.88, 4,668.60 and 2,382.24 is: 3,570.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.88 : 4,668.60 = 2,382.24 : x
  2. Step 2: Convert to fraction form
    3,114.88/4,668.60 = 2,382.24/x
  3. Step 3: Cross multiply
    3,114.88x = 4,668.60 × 2,382.24
  4. Step 4: Simplify right side
    3,114.88x = 11,121,725.66
  5. Step 5: Solve for x
    x = 11,121,725.66/3,114.88
  6. Step 6: Final answer
    x = 3,570.51

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