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Finding the Fourth Proportional to 1,689.24, 2,534.24 and 593.64

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Solution

The fourth proportional to 1,689.24, 2,534.24 and 593.64 is: 890.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.24 : 2,534.24 = 593.64 : x
  2. Step 2: Convert to fraction form
    1,689.24/2,534.24 = 593.64/x
  3. Step 3: Cross multiply
    1,689.24x = 2,534.24 × 593.64
  4. Step 4: Simplify right side
    1,689.24x = 1,504,426.23
  5. Step 5: Solve for x
    x = 1,504,426.23/1,689.24
  6. Step 6: Final answer
    x = 890.59

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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.