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Finding the Fourth Proportional to 2,172.65, 3,259.24 and 711.29

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Solution

The fourth proportional to 2,172.65, 3,259.24 and 711.29 is: 1,067.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172.65 : 3,259.24 = 711.29 : x
  2. Step 2: Convert to fraction form
    2,172.65/3,259.24 = 711.29/x
  3. Step 3: Cross multiply
    2,172.65x = 3,259.24 × 711.29
  4. Step 4: Simplify right side
    2,172.65x = 2,318,271.19
  5. Step 5: Solve for x
    x = 2,318,271.19/2,172.65
  6. Step 6: Final answer
    x = 1,067.03

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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.