Home / 2,140.08-3,203.61-1,407.84

Finding the Fourth Proportional to 2,140.08, 3,203.61 and 1,407.84

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Solution

The fourth proportional to 2,140.08, 3,203.61 and 1,407.84 is: 2,107.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.08 : 3,203.61 = 1,407.84 : x
  2. Step 2: Convert to fraction form
    2,140.08/3,203.61 = 1,407.84/x
  3. Step 3: Cross multiply
    2,140.08x = 3,203.61 × 1,407.84
  4. Step 4: Simplify right side
    2,140.08x = 4,510,170.30
  5. Step 5: Solve for x
    x = 4,510,170.30/2,140.08
  6. Step 6: Final answer
    x = 2,107.48

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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.