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Finding the Fourth Proportional to 1,434.38, 2,150.28 and 817.19

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Solution

The fourth proportional to 1,434.38, 2,150.28 and 817.19 is: 1,225.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.38 : 2,150.28 = 817.19 : x
  2. Step 2: Convert to fraction form
    1,434.38/2,150.28 = 817.19/x
  3. Step 3: Cross multiply
    1,434.38x = 2,150.28 × 817.19
  4. Step 4: Simplify right side
    1,434.38x = 1,757,184.63
  5. Step 5: Solve for x
    x = 1,757,184.63/1,434.38
  6. Step 6: Final answer
    x = 1,225.05

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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.