Home / 2,090.24-2,884.16-1,304.16

Finding the Fourth Proportional to 2,090.24, 2,884.16 and 1,304.16

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Solution

The fourth proportional to 2,090.24, 2,884.16 and 1,304.16 is: 1,799.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090.24 : 2,884.16 = 1,304.16 : x
  2. Step 2: Convert to fraction form
    2,090.24/2,884.16 = 1,304.16/x
  3. Step 3: Cross multiply
    2,090.24x = 2,884.16 × 1,304.16
  4. Step 4: Simplify right side
    2,090.24x = 3,761,406.11
  5. Step 5: Solve for x
    x = 3,761,406.11/2,090.24
  6. Step 6: Final answer
    x = 1,799.51

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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.