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Finding the Fourth Proportional to 2,618.72, 3,927.66 and 670.82

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Solution

The fourth proportional to 2,618.72, 3,927.66 and 670.82 is: 1,006.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,618.72 : 3,927.66 = 670.82 : x
  2. Step 2: Convert to fraction form
    2,618.72/3,927.66 = 670.82/x
  3. Step 3: Cross multiply
    2,618.72x = 3,927.66 × 670.82
  4. Step 4: Simplify right side
    2,618.72x = 2,634,752.88
  5. Step 5: Solve for x
    x = 2,634,752.88/2,618.72
  6. Step 6: Final answer
    x = 1,006.12

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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.