Home / 2,011.93-3,017.43-971.26

Finding the Fourth Proportional to 2,011.93, 3,017.43 and 971.26

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Solution

The fourth proportional to 2,011.93, 3,017.43 and 971.26 is: 1,456.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011.93 : 3,017.43 = 971.26 : x
  2. Step 2: Convert to fraction form
    2,011.93/3,017.43 = 971.26/x
  3. Step 3: Cross multiply
    2,011.93x = 3,017.43 × 971.26
  4. Step 4: Simplify right side
    2,011.93x = 2,930,709.06
  5. Step 5: Solve for x
    x = 2,930,709.06/2,011.93
  6. Step 6: Final answer
    x = 1,456.67

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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.