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Finding the Fourth Proportional to 1,689.02, 2,533.62 and 593.46

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Solution

The fourth proportional to 1,689.02, 2,533.62 and 593.46 is: 890.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.02 : 2,533.62 = 593.46 : x
  2. Step 2: Convert to fraction form
    1,689.02/2,533.62 = 593.46/x
  3. Step 3: Cross multiply
    1,689.02x = 2,533.62 × 593.46
  4. Step 4: Simplify right side
    1,689.02x = 1,503,589.46
  5. Step 5: Solve for x
    x = 1,503,589.46/1,689.02
  6. Step 6: Final answer
    x = 890.22

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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.