Home / 1,380.10-2,070.14-406.88

Finding the Fourth Proportional to 1,380.10, 2,070.14 and 406.88

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Solution

The fourth proportional to 1,380.10, 2,070.14 and 406.88 is: 610.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.10 : 2,070.14 = 406.88 : x
  2. Step 2: Convert to fraction form
    1,380.10/2,070.14 = 406.88/x
  3. Step 3: Cross multiply
    1,380.10x = 2,070.14 × 406.88
  4. Step 4: Simplify right side
    1,380.10x = 842,298.56
  5. Step 5: Solve for x
    x = 842,298.56/1,380.10
  6. Step 6: Final answer
    x = 610.32

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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.