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Finding the Fourth Proportional to 2,170.53, 3,256.20 and 709.29

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Solution

The fourth proportional to 2,170.53, 3,256.20 and 709.29 is: 1,064.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.53 : 3,256.20 = 709.29 : x
  2. Step 2: Convert to fraction form
    2,170.53/3,256.20 = 709.29/x
  3. Step 3: Cross multiply
    2,170.53x = 3,256.20 × 709.29
  4. Step 4: Simplify right side
    2,170.53x = 2,309,590.10
  5. Step 5: Solve for x
    x = 2,309,590.10/2,170.53
  6. Step 6: Final answer
    x = 1,064.07

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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.