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Finding the Fourth Proportional to 2,172.69, 3,259.38 and 711.51

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Solution

The fourth proportional to 2,172.69, 3,259.38 and 711.51 is: 1,067.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172.69 : 3,259.38 = 711.51 : x
  2. Step 2: Convert to fraction form
    2,172.69/3,259.38 = 711.51/x
  3. Step 3: Cross multiply
    2,172.69x = 3,259.38 × 711.51
  4. Step 4: Simplify right side
    2,172.69x = 2,319,081.46
  5. Step 5: Solve for x
    x = 2,319,081.46/2,172.69
  6. Step 6: Final answer
    x = 1,067.38

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1.5x scale

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.