Home / 2,170.29-3,254.70-709.08

Finding the Fourth Proportional to 2,170.29, 3,254.70 and 709.08

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Solution

The fourth proportional to 2,170.29, 3,254.70 and 709.08 is: 1,063.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.29 : 3,254.70 = 709.08 : x
  2. Step 2: Convert to fraction form
    2,170.29/3,254.70 = 709.08/x
  3. Step 3: Cross multiply
    2,170.29x = 3,254.70 × 709.08
  4. Step 4: Simplify right side
    2,170.29x = 2,307,842.68
  5. Step 5: Solve for x
    x = 2,307,842.68/2,170.29
  6. Step 6: Final answer
    x = 1,063.38

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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.