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Finding the Fourth Proportional to 1,655.50, 2,282.24 and 1,183.26

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Solution

The fourth proportional to 1,655.50, 2,282.24 and 1,183.26 is: 1,631.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,655.50 : 2,282.24 = 1,183.26 : x
  2. Step 2: Convert to fraction form
    1,655.50/2,282.24 = 1,183.26/x
  3. Step 3: Cross multiply
    1,655.50x = 2,282.24 × 1,183.26
  4. Step 4: Simplify right side
    1,655.50x = 2,700,483.30
  5. Step 5: Solve for x
    x = 2,700,483.30/1,655.50
  6. Step 6: Final answer
    x = 1,631.22

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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.