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Finding the Fourth Proportional to 1,157.90, 1,733.81 and 1,090.46

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Solution

The fourth proportional to 1,157.90, 1,733.81 and 1,090.46 is: 1,632.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.90 : 1,733.81 = 1,090.46 : x
  2. Step 2: Convert to fraction form
    1,157.90/1,733.81 = 1,090.46/x
  3. Step 3: Cross multiply
    1,157.90x = 1,733.81 × 1,090.46
  4. Step 4: Simplify right side
    1,157.90x = 1,890,649.33
  5. Step 5: Solve for x
    x = 1,890,649.33/1,157.90
  6. Step 6: Final answer
    x = 1,632.83

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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.