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Finding the Fourth Proportional to 1,805.34, 2,489.67 and 1,539.89

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Solution

The fourth proportional to 1,805.34, 2,489.67 and 1,539.89 is: 2,123.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,805.34 : 2,489.67 = 1,539.89 : x
  2. Step 2: Convert to fraction form
    1,805.34/2,489.67 = 1,539.89/x
  3. Step 3: Cross multiply
    1,805.34x = 2,489.67 × 1,539.89
  4. Step 4: Simplify right side
    1,805.34x = 3,833,805.49
  5. Step 5: Solve for x
    x = 3,833,805.49/1,805.34
  6. Step 6: Final answer
    x = 2,123.59

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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.