Home / 2,971.05-4,455.67-1,564.70

Finding the Fourth Proportional to 2,971.05, 4,455.67 and 1,564.70

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Solution

The fourth proportional to 2,971.05, 4,455.67 and 1,564.70 is: 2,346.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.05 : 4,455.67 = 1,564.70 : x
  2. Step 2: Convert to fraction form
    2,971.05/4,455.67 = 1,564.70/x
  3. Step 3: Cross multiply
    2,971.05x = 4,455.67 × 1,564.70
  4. Step 4: Simplify right side
    2,971.05x = 6,971,786.85
  5. Step 5: Solve for x
    x = 6,971,786.85/2,971.05
  6. Step 6: Final answer
    x = 2,346.57

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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.