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Finding the Fourth Proportional to 3,457.12, 4,770.80 and 1,965.10

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Solution

The fourth proportional to 3,457.12, 4,770.80 and 1,965.10 is: 2,711.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457.12 : 4,770.80 = 1,965.10 : x
  2. Step 2: Convert to fraction form
    3,457.12/4,770.80 = 1,965.10/x
  3. Step 3: Cross multiply
    3,457.12x = 4,770.80 × 1,965.10
  4. Step 4: Simplify right side
    3,457.12x = 9,375,075.23
  5. Step 5: Solve for x
    x = 9,375,075.23/3,457.12
  6. Step 6: Final answer
    x = 2,711.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.