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Finding the Fourth Proportional to 1,539.23, 2,308.24 and 890.42

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Solution

The fourth proportional to 1,539.23, 2,308.24 and 890.42 is: 1,335.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539.23 : 2,308.24 = 890.42 : x
  2. Step 2: Convert to fraction form
    1,539.23/2,308.24 = 890.42/x
  3. Step 3: Cross multiply
    1,539.23x = 2,308.24 × 890.42
  4. Step 4: Simplify right side
    1,539.23x = 2,055,298.61
  5. Step 5: Solve for x
    x = 2,055,298.61/1,539.23
  6. Step 6: Final answer
    x = 1,335.28

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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.