Home / 1,932.83-2,896.64-1,410.38

Finding the Fourth Proportional to 1,932.83, 2,896.64 and 1,410.38

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Solution

The fourth proportional to 1,932.83, 2,896.64 and 1,410.38 is: 2,113.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,932.83 : 2,896.64 = 1,410.38 : x
  2. Step 2: Convert to fraction form
    1,932.83/2,896.64 = 1,410.38/x
  3. Step 3: Cross multiply
    1,932.83x = 2,896.64 × 1,410.38
  4. Step 4: Simplify right side
    1,932.83x = 4,085,381.97
  5. Step 5: Solve for x
    x = 4,085,381.97/1,932.83
  6. Step 6: Final answer
    x = 2,113.67

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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.