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Finding the Fourth Proportional to 2,269.08, 3,403.71 and 709.34

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Solution

The fourth proportional to 2,269.08, 3,403.71 and 709.34 is: 1,064.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.08 : 3,403.71 = 709.34 : x
  2. Step 2: Convert to fraction form
    2,269.08/3,403.71 = 709.34/x
  3. Step 3: Cross multiply
    2,269.08x = 3,403.71 × 709.34
  4. Step 4: Simplify right side
    2,269.08x = 2,414,370.63
  5. Step 5: Solve for x
    x = 2,414,370.63/2,269.08
  6. Step 6: Final answer
    x = 1,064.03

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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.