Home / 2,314.11-3,470.31-832.93

Finding the Fourth Proportional to 2,314.11, 3,470.31 and 832.93

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Solution

The fourth proportional to 2,314.11, 3,470.31 and 832.93 is: 1,249.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.11 : 3,470.31 = 832.93 : x
  2. Step 2: Convert to fraction form
    2,314.11/3,470.31 = 832.93/x
  3. Step 3: Cross multiply
    2,314.11x = 3,470.31 × 832.93
  4. Step 4: Simplify right side
    2,314.11x = 2,890,521.14
  5. Step 5: Solve for x
    x = 2,890,521.14/2,314.11
  6. Step 6: Final answer
    x = 1,249.09

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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.