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Finding the Fourth Proportional to 2,618.58, 3,928.10 and 670.78

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Solution

The fourth proportional to 2,618.58, 3,928.10 and 670.78 is: 1,006.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,618.58 : 3,928.10 = 670.78 : x
  2. Step 2: Convert to fraction form
    2,618.58/3,928.10 = 670.78/x
  3. Step 3: Cross multiply
    2,618.58x = 3,928.10 × 670.78
  4. Step 4: Simplify right side
    2,618.58x = 2,634,892.47
  5. Step 5: Solve for x
    x = 2,634,892.47/2,618.58
  6. Step 6: Final answer
    x = 1,006.23

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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.