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Finding the Fourth Proportional to 3,457.86, 4,771.68 and 1,965.75

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Solution

The fourth proportional to 3,457.86, 4,771.68 and 1,965.75 is: 2,712.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457.86 : 4,771.68 = 1,965.75 : x
  2. Step 2: Convert to fraction form
    3,457.86/4,771.68 = 1,965.75/x
  3. Step 3: Cross multiply
    3,457.86x = 4,771.68 × 1,965.75
  4. Step 4: Simplify right side
    3,457.86x = 9,379,929.96
  5. Step 5: Solve for x
    x = 9,379,929.96/3,457.86
  6. Step 6: Final answer
    x = 2,712.64

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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.