Home / 2,090.16-3,136.32-1,742.40

Finding the Fourth Proportional to 2,090.16, 3,136.32 and 1,742.40

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Solution

The fourth proportional to 2,090.16, 3,136.32 and 1,742.40 is: 2,614.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090.16 : 3,136.32 = 1,742.40 : x
  2. Step 2: Convert to fraction form
    2,090.16/3,136.32 = 1,742.40/x
  3. Step 3: Cross multiply
    2,090.16x = 3,136.32 × 1,742.40
  4. Step 4: Simplify right side
    2,090.16x = 5,464,723.97
  5. Step 5: Solve for x
    x = 5,464,723.97/2,090.16
  6. Step 6: Final answer
    x = 2,614.50

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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.