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Finding the Fourth Proportional to 1,539.40, 2,308.62 and 890.44

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Solution

The fourth proportional to 1,539.40, 2,308.62 and 890.44 is: 1,335.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539.40 : 2,308.62 = 890.44 : x
  2. Step 2: Convert to fraction form
    1,539.40/2,308.62 = 890.44/x
  3. Step 3: Cross multiply
    1,539.40x = 2,308.62 × 890.44
  4. Step 4: Simplify right side
    1,539.40x = 2,055,687.59
  5. Step 5: Solve for x
    x = 2,055,687.59/1,539.40
  6. Step 6: Final answer
    x = 1,335.38

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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.