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Finding the Fourth Proportional to 3,412.67, 4,709.22 and 1,920.32

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Solution

The fourth proportional to 3,412.67, 4,709.22 and 1,920.32 is: 2,649.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.67 : 4,709.22 = 1,920.32 : x
  2. Step 2: Convert to fraction form
    3,412.67/4,709.22 = 1,920.32/x
  3. Step 3: Cross multiply
    3,412.67x = 4,709.22 × 1,920.32
  4. Step 4: Simplify right side
    3,412.67x = 9,043,209.35
  5. Step 5: Solve for x
    x = 9,043,209.35/3,412.67
  6. Step 6: Final answer
    x = 2,649.89

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1.5x scale

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.