Home / 2,314.20-3,471.65-998.32

Finding the Fourth Proportional to 2,314.20, 3,471.65 and 998.32

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Solution

The fourth proportional to 2,314.20, 3,471.65 and 998.32 is: 1,497.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.20 : 3,471.65 = 998.32 : x
  2. Step 2: Convert to fraction form
    2,314.20/3,471.65 = 998.32/x
  3. Step 3: Cross multiply
    2,314.20x = 3,471.65 × 998.32
  4. Step 4: Simplify right side
    2,314.20x = 3,465,817.63
  5. Step 5: Solve for x
    x = 3,465,817.63/2,314.20
  6. Step 6: Final answer
    x = 1,497.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.