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Finding the Fourth Proportional to 3,457.05, 4,771.11 and 1,965.34

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Solution

The fourth proportional to 3,457.05, 4,771.11 and 1,965.34 is: 2,712.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457.05 : 4,771.11 = 1,965.34 : x
  2. Step 2: Convert to fraction form
    3,457.05/4,771.11 = 1,965.34/x
  3. Step 3: Cross multiply
    3,457.05x = 4,771.11 × 1,965.34
  4. Step 4: Simplify right side
    3,457.05x = 9,376,853.33
  5. Step 5: Solve for x
    x = 9,376,853.33/3,457.05
  6. Step 6: Final answer
    x = 2,712.39

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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.