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Finding the Fourth Proportional to 1,539.33, 2,309.40 and 552.11

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Solution

The fourth proportional to 1,539.33, 2,309.40 and 552.11 is: 828.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539.33 : 2,309.40 = 552.11 : x
  2. Step 2: Convert to fraction form
    1,539.33/2,309.40 = 552.11/x
  3. Step 3: Cross multiply
    1,539.33x = 2,309.40 × 552.11
  4. Step 4: Simplify right side
    1,539.33x = 1,275,042.83
  5. Step 5: Solve for x
    x = 1,275,042.83/1,539.33
  6. Step 6: Final answer
    x = 828.31

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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.