Home / 2,005.11-3,007.80-706.14

Finding the Fourth Proportional to 2,005.11, 3,007.80 and 706.14

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Solution

The fourth proportional to 2,005.11, 3,007.80 and 706.14 is: 1,059.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.11 : 3,007.80 = 706.14 : x
  2. Step 2: Convert to fraction form
    2,005.11/3,007.80 = 706.14/x
  3. Step 3: Cross multiply
    2,005.11x = 3,007.80 × 706.14
  4. Step 4: Simplify right side
    2,005.11x = 2,123,927.89
  5. Step 5: Solve for x
    x = 2,123,927.89/2,005.11
  6. Step 6: Final answer
    x = 1,059.26

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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.