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Finding the Fourth Proportional to 1,369.13, 2,050.60 and 820.15

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Solution

The fourth proportional to 1,369.13, 2,050.60 and 820.15 is: 1,228.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369.13 : 2,050.60 = 820.15 : x
  2. Step 2: Convert to fraction form
    1,369.13/2,050.60 = 820.15/x
  3. Step 3: Cross multiply
    1,369.13x = 2,050.60 × 820.15
  4. Step 4: Simplify right side
    1,369.13x = 1,681,785.24
  5. Step 5: Solve for x
    x = 1,681,785.24/1,369.13
  6. Step 6: Final answer
    x = 1,228.37

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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.