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Finding the Fourth Proportional to 1,539.28, 2,308.92 and 385.03

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Solution

The fourth proportional to 1,539.28, 2,308.92 and 385.03 is: 577.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539.28 : 2,308.92 = 385.03 : x
  2. Step 2: Convert to fraction form
    1,539.28/2,308.92 = 385.03/x
  3. Step 3: Cross multiply
    1,539.28x = 2,308.92 × 385.03
  4. Step 4: Simplify right side
    1,539.28x = 889,003.47
  5. Step 5: Solve for x
    x = 889,003.47/1,539.28
  6. Step 6: Final answer
    x = 577.55

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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.