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Finding the Fourth Proportional to 1,590.80, 2,182.24 and 1,523.60

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Solution

The fourth proportional to 1,590.80, 2,182.24 and 1,523.60 is: 2,090.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590.80 : 2,182.24 = 1,523.60 : x
  2. Step 2: Convert to fraction form
    1,590.80/2,182.24 = 1,523.60/x
  3. Step 3: Cross multiply
    1,590.80x = 2,182.24 × 1,523.60
  4. Step 4: Simplify right side
    1,590.80x = 3,324,860.86
  5. Step 5: Solve for x
    x = 3,324,860.86/1,590.80
  6. Step 6: Final answer
    x = 2,090.06

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.