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Finding the Fourth Proportional to 3,402.96, 5,100.48 and 1,453.32

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Solution

The fourth proportional to 3,402.96, 5,100.48 and 1,453.32 is: 2,178.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.96 : 5,100.48 = 1,453.32 : x
  2. Step 2: Convert to fraction form
    3,402.96/5,100.48 = 1,453.32/x
  3. Step 3: Cross multiply
    3,402.96x = 5,100.48 × 1,453.32
  4. Step 4: Simplify right side
    3,402.96x = 7,412,629.59
  5. Step 5: Solve for x
    x = 7,412,629.59/3,402.96
  6. Step 6: Final answer
    x = 2,178.29

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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.