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Finding the Fourth Proportional to 2,418.74, 3,627.84 and 687.32

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Solution

The fourth proportional to 2,418.74, 3,627.84 and 687.32 is: 1,030.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,418.74 : 3,627.84 = 687.32 : x
  2. Step 2: Convert to fraction form
    2,418.74/3,627.84 = 687.32/x
  3. Step 3: Cross multiply
    2,418.74x = 3,627.84 × 687.32
  4. Step 4: Simplify right side
    2,418.74x = 2,493,486.99
  5. Step 5: Solve for x
    x = 2,493,486.99/2,418.74
  6. Step 6: Final answer
    x = 1,030.90

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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.