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Finding the Fourth Proportional to 1,655.80, 2,283.24 and 1,183.60

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Solution

The fourth proportional to 1,655.80, 2,283.24 and 1,183.60 is: 1,632.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,655.80 : 2,283.24 = 1,183.60 : x
  2. Step 2: Convert to fraction form
    1,655.80/2,283.24 = 1,183.60/x
  3. Step 3: Cross multiply
    1,655.80x = 2,283.24 × 1,183.60
  4. Step 4: Simplify right side
    1,655.80x = 2,702,442.86
  5. Step 5: Solve for x
    x = 2,702,442.86/1,655.80
  6. Step 6: Final answer
    x = 1,632.11

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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.