Home / 2,474.42-3,414.56-1,412.10

Finding the Fourth Proportional to 2,474.42, 3,414.56 and 1,412.10

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Solution

The fourth proportional to 2,474.42, 3,414.56 and 1,412.10 is: 1,948.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474.42 : 3,414.56 = 1,412.10 : x
  2. Step 2: Convert to fraction form
    2,474.42/3,414.56 = 1,412.10/x
  3. Step 3: Cross multiply
    2,474.42x = 3,414.56 × 1,412.10
  4. Step 4: Simplify right side
    2,474.42x = 4,821,693.12
  5. Step 5: Solve for x
    x = 4,821,693.12/2,474.42
  6. Step 6: Final answer
    x = 1,948.62

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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.