Home / 2,056.44-3,084.08-739.98

Finding the Fourth Proportional to 2,056.44, 3,084.08 and 739.98

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Solution

The fourth proportional to 2,056.44, 3,084.08 and 739.98 is: 1,109.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,056.44 : 3,084.08 = 739.98 : x
  2. Step 2: Convert to fraction form
    2,056.44/3,084.08 = 739.98/x
  3. Step 3: Cross multiply
    2,056.44x = 3,084.08 × 739.98
  4. Step 4: Simplify right side
    2,056.44x = 2,282,153.82
  5. Step 5: Solve for x
    x = 2,282,153.82/2,056.44
  6. Step 6: Final answer
    x = 1,109.76

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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.