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Finding the Fourth Proportional to 1,602.64, 2,211.03 and 1,183.99

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Solution

The fourth proportional to 1,602.64, 2,211.03 and 1,183.99 is: 1,633.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.64 : 2,211.03 = 1,183.99 : x
  2. Step 2: Convert to fraction form
    1,602.64/2,211.03 = 1,183.99/x
  3. Step 3: Cross multiply
    1,602.64x = 2,211.03 × 1,183.99
  4. Step 4: Simplify right side
    1,602.64x = 2,617,837.41
  5. Step 5: Solve for x
    x = 2,617,837.41/1,602.64
  6. Step 6: Final answer
    x = 1,633.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.