Home / 2,090.24-2,884.49-1,146

Finding the Fourth Proportional to 2,090.24, 2,884.49 and 1,146

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Solution

The fourth proportional to 2,090.24, 2,884.49 and 1,146 is: 1,581.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090.24 : 2,884.49 = 1,146 : x
  2. Step 2: Convert to fraction form
    2,090.24/2,884.49 = 1,146/x
  3. Step 3: Cross multiply
    2,090.24x = 2,884.49 × 1,146
  4. Step 4: Simplify right side
    2,090.24x = 3,305,619.81
  5. Step 5: Solve for x
    x = 3,305,619.81/2,090.24
  6. Step 6: Final answer
    x = 1,581.46

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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.