Home / 2,056.08-3,084.17-739.92

Finding the Fourth Proportional to 2,056.08, 3,084.17 and 739.92

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Solution

The fourth proportional to 2,056.08, 3,084.17 and 739.92 is: 1,109.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,056.08 : 3,084.17 = 739.92 : x
  2. Step 2: Convert to fraction form
    2,056.08/3,084.17 = 739.92/x
  3. Step 3: Cross multiply
    2,056.08x = 3,084.17 × 739.92
  4. Step 4: Simplify right side
    2,056.08x = 2,282,039.07
  5. Step 5: Solve for x
    x = 2,282,039.07/2,056.08
  6. Step 6: Final answer
    x = 1,109.90

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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.