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Finding the Fourth Proportional to 3,457.37, 4,770.81 and 1,965.48

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Solution

The fourth proportional to 3,457.37, 4,770.81 and 1,965.48 is: 2,712.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457.37 : 4,770.81 = 1,965.48 : x
  2. Step 2: Convert to fraction form
    3,457.37/4,770.81 = 1,965.48/x
  3. Step 3: Cross multiply
    3,457.37x = 4,770.81 × 1,965.48
  4. Step 4: Simplify right side
    3,457.37x = 9,376,931.64
  5. Step 5: Solve for x
    x = 9,376,931.64/3,457.37
  6. Step 6: Final answer
    x = 2,712.16

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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.