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Finding the Fourth Proportional to 2,618.02, 3,927.58 and 768.98

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Solution

The fourth proportional to 2,618.02, 3,927.58 and 768.98 is: 1,153.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,618.02 : 3,927.58 = 768.98 : x
  2. Step 2: Convert to fraction form
    2,618.02/3,927.58 = 768.98/x
  3. Step 3: Cross multiply
    2,618.02x = 3,927.58 × 768.98
  4. Step 4: Simplify right side
    2,618.02x = 3,020,225.08
  5. Step 5: Solve for x
    x = 3,020,225.08/2,618.02
  6. Step 6: Final answer
    x = 1,153.63

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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.