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Finding the Fourth Proportional to 1,539.33, 2,309.01 and 385.08

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Solution

The fourth proportional to 1,539.33, 2,309.01 and 385.08 is: 577.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539.33 : 2,309.01 = 385.08 : x
  2. Step 2: Convert to fraction form
    1,539.33/2,309.01 = 385.08/x
  3. Step 3: Cross multiply
    1,539.33x = 2,309.01 × 385.08
  4. Step 4: Simplify right side
    1,539.33x = 889,153.57
  5. Step 5: Solve for x
    x = 889,153.57/1,539.33
  6. Step 6: Final answer
    x = 577.62

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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.