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Finding the Fourth Proportional to 1,380.18, 2,069.29 and 649.38

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Solution

The fourth proportional to 1,380.18, 2,069.29 and 649.38 is: 973.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.18 : 2,069.29 = 649.38 : x
  2. Step 2: Convert to fraction form
    1,380.18/2,069.29 = 649.38/x
  3. Step 3: Cross multiply
    1,380.18x = 2,069.29 × 649.38
  4. Step 4: Simplify right side
    1,380.18x = 1,343,755.54
  5. Step 5: Solve for x
    x = 1,343,755.54/1,380.18
  6. Step 6: Final answer
    x = 973.61

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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.