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Finding the Fourth Proportional to 2,319.03, 3,200.26 and 1,256.81

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Solution

The fourth proportional to 2,319.03, 3,200.26 and 1,256.81 is: 1,734.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,319.03 : 3,200.26 = 1,256.81 : x
  2. Step 2: Convert to fraction form
    2,319.03/3,200.26 = 1,256.81/x
  3. Step 3: Cross multiply
    2,319.03x = 3,200.26 × 1,256.81
  4. Step 4: Simplify right side
    2,319.03x = 4,022,104.34
  5. Step 5: Solve for x
    x = 4,022,104.34/2,319.03
  6. Step 6: Final answer
    x = 1,734.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.