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Finding the Fourth Proportional to 2,621.98, 3,932.06 and 772.61

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Solution

The fourth proportional to 2,621.98, 3,932.06 and 772.61 is: 1,158.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,621.98 : 3,932.06 = 772.61 : x
  2. Step 2: Convert to fraction form
    2,621.98/3,932.06 = 772.61/x
  3. Step 3: Cross multiply
    2,621.98x = 3,932.06 × 772.61
  4. Step 4: Simplify right side
    2,621.98x = 3,037,925.35
  5. Step 5: Solve for x
    x = 3,037,925.35/2,621.98
  6. Step 6: Final answer
    x = 1,158.64

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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.