Home / 2,090.40-2,884.38-1,205.88

Finding the Fourth Proportional to 2,090.40, 2,884.38 and 1,205.88

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Solution

The fourth proportional to 2,090.40, 2,884.38 and 1,205.88 is: 1,663.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090.40 : 2,884.38 = 1,205.88 : x
  2. Step 2: Convert to fraction form
    2,090.40/2,884.38 = 1,205.88/x
  3. Step 3: Cross multiply
    2,090.40x = 2,884.38 × 1,205.88
  4. Step 4: Simplify right side
    2,090.40x = 3,478,216.15
  5. Step 5: Solve for x
    x = 3,478,216.15/2,090.40
  6. Step 6: Final answer
    x = 1,663.90

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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.