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Finding the Fourth Proportional to 1,621.82, 2,434.52 and 648.61

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Solution

The fourth proportional to 1,621.82, 2,434.52 and 648.61 is: 973.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,621.82 : 2,434.52 = 648.61 : x
  2. Step 2: Convert to fraction form
    1,621.82/2,434.52 = 648.61/x
  3. Step 3: Cross multiply
    1,621.82x = 2,434.52 × 648.61
  4. Step 4: Simplify right side
    1,621.82x = 1,579,049.55
  5. Step 5: Solve for x
    x = 1,579,049.55/1,621.82
  6. Step 6: Final answer
    x = 973.63

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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.