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Finding the Fourth Proportional to 1,414.33, 2,109.50 and 1,230.28

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Solution

The fourth proportional to 1,414.33, 2,109.50 and 1,230.28 is: 1,834.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.33 : 2,109.50 = 1,230.28 : x
  2. Step 2: Convert to fraction form
    1,414.33/2,109.50 = 1,230.28/x
  3. Step 3: Cross multiply
    1,414.33x = 2,109.50 × 1,230.28
  4. Step 4: Simplify right side
    1,414.33x = 2,595,275.66
  5. Step 5: Solve for x
    x = 2,595,275.66/1,414.33
  6. Step 6: Final answer
    x = 1,834.99

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.