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Finding the Fourth Proportional to 1,633.76, 2,451.86 and 1,018.36

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Solution

The fourth proportional to 1,633.76, 2,451.86 and 1,018.36 is: 1,528.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,633.76 : 2,451.86 = 1,018.36 : x
  2. Step 2: Convert to fraction form
    1,633.76/2,451.86 = 1,018.36/x
  3. Step 3: Cross multiply
    1,633.76x = 2,451.86 × 1,018.36
  4. Step 4: Simplify right side
    1,633.76x = 2,496,876.15
  5. Step 5: Solve for x
    x = 2,496,876.15/1,633.76
  6. Step 6: Final answer
    x = 1,528.30

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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.