Home / 1,720.78-2,371.01-1,160.28

Finding the Fourth Proportional to 1,720.78, 2,371.01 and 1,160.28

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Solution

The fourth proportional to 1,720.78, 2,371.01 and 1,160.28 is: 1,598.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,720.78 : 2,371.01 = 1,160.28 : x
  2. Step 2: Convert to fraction form
    1,720.78/2,371.01 = 1,160.28/x
  3. Step 3: Cross multiply
    1,720.78x = 2,371.01 × 1,160.28
  4. Step 4: Simplify right side
    1,720.78x = 2,751,029.68
  5. Step 5: Solve for x
    x = 2,751,029.68/1,720.78
  6. Step 6: Final answer
    x = 1,598.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.