Home / 2,180.14-3,267.78-945.70

Finding the Fourth Proportional to 2,180.14, 3,267.78 and 945.70

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Solution

The fourth proportional to 2,180.14, 3,267.78 and 945.70 is: 1,417.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,180.14 : 3,267.78 = 945.70 : x
  2. Step 2: Convert to fraction form
    2,180.14/3,267.78 = 945.70/x
  3. Step 3: Cross multiply
    2,180.14x = 3,267.78 × 945.70
  4. Step 4: Simplify right side
    2,180.14x = 3,090,339.55
  5. Step 5: Solve for x
    x = 3,090,339.55/2,180.14
  6. Step 6: Final answer
    x = 1,417.50

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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.