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Finding the Fourth Proportional to 1,659.90, 2,289.12 and 1,328.34

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Solution

The fourth proportional to 1,659.90, 2,289.12 and 1,328.34 is: 1,831.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,659.90 : 2,289.12 = 1,328.34 : x
  2. Step 2: Convert to fraction form
    1,659.90/2,289.12 = 1,328.34/x
  3. Step 3: Cross multiply
    1,659.90x = 2,289.12 × 1,328.34
  4. Step 4: Simplify right side
    1,659.90x = 3,040,729.66
  5. Step 5: Solve for x
    x = 3,040,729.66/1,659.90
  6. Step 6: Final answer
    x = 1,831.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.