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Finding the Fourth Proportional to 1,589.00, 2,191.50 and 1,090.85

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Solution

The fourth proportional to 1,589.00, 2,191.50 and 1,090.85 is: 1,504.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.00 : 2,191.50 = 1,090.85 : x
  2. Step 2: Convert to fraction form
    1,589.00/2,191.50 = 1,090.85/x
  3. Step 3: Cross multiply
    1,589.00x = 2,191.50 × 1,090.85
  4. Step 4: Simplify right side
    1,589.00x = 2,390,586.82
  5. Step 5: Solve for x
    x = 2,390,586.82/1,589.00
  6. Step 6: Final answer
    x = 1,504.46

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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.