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Finding the Fourth Proportional to 1,414.16, 1,952.20 and 942.84

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Solution

The fourth proportional to 1,414.16, 1,952.20 and 942.84 is: 1,301.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.16 : 1,952.20 = 942.84 : x
  2. Step 2: Convert to fraction form
    1,414.16/1,952.20 = 942.84/x
  3. Step 3: Cross multiply
    1,414.16x = 1,952.20 × 942.84
  4. Step 4: Simplify right side
    1,414.16x = 1,840,613.43
  5. Step 5: Solve for x
    x = 1,840,613.43/1,414.16
  6. Step 6: Final answer
    x = 1,301.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.