Home / 2,033.82-3,049.02-1,415.70

Finding the Fourth Proportional to 2,033.82, 3,049.02 and 1,415.70

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Solution

The fourth proportional to 2,033.82, 3,049.02 and 1,415.70 is: 2,122.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.82 : 3,049.02 = 1,415.70 : x
  2. Step 2: Convert to fraction form
    2,033.82/3,049.02 = 1,415.70/x
  3. Step 3: Cross multiply
    2,033.82x = 3,049.02 × 1,415.70
  4. Step 4: Simplify right side
    2,033.82x = 4,316,497.61
  5. Step 5: Solve for x
    x = 4,316,497.61/2,033.82
  6. Step 6: Final answer
    x = 2,122.36

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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.