Home / 2,107.26-3,158.16-1,412.89

Finding the Fourth Proportional to 2,107.26, 3,158.16 and 1,412.89

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Solution

The fourth proportional to 2,107.26, 3,158.16 and 1,412.89 is: 2,117.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.26 : 3,158.16 = 1,412.89 : x
  2. Step 2: Convert to fraction form
    2,107.26/3,158.16 = 1,412.89/x
  3. Step 3: Cross multiply
    2,107.26x = 3,158.16 × 1,412.89
  4. Step 4: Simplify right side
    2,107.26x = 4,462,132.68
  5. Step 5: Solve for x
    x = 4,462,132.68/2,107.26
  6. Step 6: Final answer
    x = 2,117.50

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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.