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Finding the Fourth Proportional to 2,273.04, 3,409.22 and 712.68

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Solution

The fourth proportional to 2,273.04, 3,409.22 and 712.68 is: 1,068.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,273.04 : 3,409.22 = 712.68 : x
  2. Step 2: Convert to fraction form
    2,273.04/3,409.22 = 712.68/x
  3. Step 3: Cross multiply
    2,273.04x = 3,409.22 × 712.68
  4. Step 4: Simplify right side
    2,273.04x = 2,429,682.91
  5. Step 5: Solve for x
    x = 2,429,682.91/2,273.04
  6. Step 6: Final answer
    x = 1,068.91

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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.