Home / 2,071.05-3,107.64-1,146.44

Finding the Fourth Proportional to 2,071.05, 3,107.64 and 1,146.44

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Solution

The fourth proportional to 2,071.05, 3,107.64 and 1,146.44 is: 1,720.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.05 : 3,107.64 = 1,146.44 : x
  2. Step 2: Convert to fraction form
    2,071.05/3,107.64 = 1,146.44/x
  3. Step 3: Cross multiply
    2,071.05x = 3,107.64 × 1,146.44
  4. Step 4: Simplify right side
    2,071.05x = 3,562,722.80
  5. Step 5: Solve for x
    x = 3,562,722.80/2,071.05
  6. Step 6: Final answer
    x = 1,720.25

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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.