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Finding the Fourth Proportional to 1,380.82, 2,070.47 and 731.38

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Solution

The fourth proportional to 1,380.82, 2,070.47 and 731.38 is: 1,096.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.82 : 2,070.47 = 731.38 : x
  2. Step 2: Convert to fraction form
    1,380.82/2,070.47 = 731.38/x
  3. Step 3: Cross multiply
    1,380.82x = 2,070.47 × 731.38
  4. Step 4: Simplify right side
    1,380.82x = 1,514,300.35
  5. Step 5: Solve for x
    x = 1,514,300.35/1,380.82
  6. Step 6: Final answer
    x = 1,096.67

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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.