Home / 1,960.14-2,937.48-1,409.76

Finding the Fourth Proportional to 1,960.14, 2,937.48 and 1,409.76

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Solution

The fourth proportional to 1,960.14, 2,937.48 and 1,409.76 is: 2,112.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,960.14 : 2,937.48 = 1,409.76 : x
  2. Step 2: Convert to fraction form
    1,960.14/2,937.48 = 1,409.76/x
  3. Step 3: Cross multiply
    1,960.14x = 2,937.48 × 1,409.76
  4. Step 4: Simplify right side
    1,960.14x = 4,141,141.80
  5. Step 5: Solve for x
    x = 4,141,141.80/1,960.14
  6. Step 6: Final answer
    x = 2,112.68

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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.