Home / 1,782.28-2,666.94-1,471.24

Finding the Fourth Proportional to 1,782.28, 2,666.94 and 1,471.24

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Solution

The fourth proportional to 1,782.28, 2,666.94 and 1,471.24 is: 2,201.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.28 : 2,666.94 = 1,471.24 : x
  2. Step 2: Convert to fraction form
    1,782.28/2,666.94 = 1,471.24/x
  3. Step 3: Cross multiply
    1,782.28x = 2,666.94 × 1,471.24
  4. Step 4: Simplify right side
    1,782.28x = 3,923,708.81
  5. Step 5: Solve for x
    x = 3,923,708.81/1,782.28
  6. Step 6: Final answer
    x = 2,201.51

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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.