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Finding the Fourth Proportional to 2,418.80, 3,628.47 and 858.47

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Solution

The fourth proportional to 2,418.80, 3,628.47 and 858.47 is: 1,287.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,418.80 : 3,628.47 = 858.47 : x
  2. Step 2: Convert to fraction form
    2,418.80/3,628.47 = 858.47/x
  3. Step 3: Cross multiply
    2,418.80x = 3,628.47 × 858.47
  4. Step 4: Simplify right side
    2,418.80x = 3,114,932.64
  5. Step 5: Solve for x
    x = 3,114,932.64/2,418.80
  6. Step 6: Final answer
    x = 1,287.80

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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.