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Finding the Fourth Proportional to 1,542.22, 2,309.65 and 890.98

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Solution

The fourth proportional to 1,542.22, 2,309.65 and 890.98 is: 1,334.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.22 : 2,309.65 = 890.98 : x
  2. Step 2: Convert to fraction form
    1,542.22/2,309.65 = 890.98/x
  3. Step 3: Cross multiply
    1,542.22x = 2,309.65 × 890.98
  4. Step 4: Simplify right side
    1,542.22x = 2,057,843.96
  5. Step 5: Solve for x
    x = 2,057,843.96/1,542.22
  6. Step 6: Final answer
    x = 1,334.34

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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.