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Finding the Fourth Proportional to 1,414.72, 2,108.24 and 1,368.28

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Solution

The fourth proportional to 1,414.72, 2,108.24 and 1,368.28 is: 2,039.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.72 : 2,108.24 = 1,368.28 : x
  2. Step 2: Convert to fraction form
    1,414.72/2,108.24 = 1,368.28/x
  3. Step 3: Cross multiply
    1,414.72x = 2,108.24 × 1,368.28
  4. Step 4: Simplify right side
    1,414.72x = 2,884,662.63
  5. Step 5: Solve for x
    x = 2,884,662.63/1,414.72
  6. Step 6: Final answer
    x = 2,039.03

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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.