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Finding the Fourth Proportional to 3,457.53, 4,771.51 and 1,965.39

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Solution

The fourth proportional to 3,457.53, 4,771.51 and 1,965.39 is: 2,712.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457.53 : 4,771.51 = 1,965.39 : x
  2. Step 2: Convert to fraction form
    3,457.53/4,771.51 = 1,965.39/x
  3. Step 3: Cross multiply
    3,457.53x = 4,771.51 × 1,965.39
  4. Step 4: Simplify right side
    3,457.53x = 9,377,878.04
  5. Step 5: Solve for x
    x = 9,377,878.04/3,457.53
  6. Step 6: Final answer
    x = 2,712.31

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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.