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Finding the Fourth Proportional to 1,180.90, 1,780.20 and 1,101.61

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Solution

The fourth proportional to 1,180.90, 1,780.20 and 1,101.61 is: 1,660.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.90 : 1,780.20 = 1,101.61 : x
  2. Step 2: Convert to fraction form
    1,180.90/1,780.20 = 1,101.61/x
  3. Step 3: Cross multiply
    1,180.90x = 1,780.20 × 1,101.61
  4. Step 4: Simplify right side
    1,180.90x = 1,961,080.61
  5. Step 5: Solve for x
    x = 1,961,080.61/1,180.90
  6. Step 6: Final answer
    x = 1,660.67

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.