Home / 1,562.04-2,342.10-1,414.20

Finding the Fourth Proportional to 1,562.04, 2,342.10 and 1,414.20

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Solution

The fourth proportional to 1,562.04, 2,342.10 and 1,414.20 is: 2,120.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,562.04 : 2,342.10 = 1,414.20 : x
  2. Step 2: Convert to fraction form
    1,562.04/2,342.10 = 1,414.20/x
  3. Step 3: Cross multiply
    1,562.04x = 2,342.10 × 1,414.20
  4. Step 4: Simplify right side
    1,562.04x = 3,312,197.82
  5. Step 5: Solve for x
    x = 3,312,197.82/1,562.04
  6. Step 6: Final answer
    x = 2,120.43

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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.