Home / 2,232.96-3,350.40-1,412.16

Finding the Fourth Proportional to 2,232.96, 3,350.40 and 1,412.16

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Solution

The fourth proportional to 2,232.96, 3,350.40 and 1,412.16 is: 2,118.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,232.96 : 3,350.40 = 1,412.16 : x
  2. Step 2: Convert to fraction form
    2,232.96/3,350.40 = 1,412.16/x
  3. Step 3: Cross multiply
    2,232.96x = 3,350.40 × 1,412.16
  4. Step 4: Simplify right side
    2,232.96x = 4,731,300.86
  5. Step 5: Solve for x
    x = 4,731,300.86/2,232.96
  6. Step 6: Final answer
    x = 2,118.85

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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.