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Finding the Fourth Proportional to 3,266.40, 4,899.62 and 1,075.30

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Solution

The fourth proportional to 3,266.40, 4,899.62 and 1,075.30 is: 1,612.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,266.40 : 4,899.62 = 1,075.30 : x
  2. Step 2: Convert to fraction form
    3,266.40/4,899.62 = 1,075.30/x
  3. Step 3: Cross multiply
    3,266.40x = 4,899.62 × 1,075.30
  4. Step 4: Simplify right side
    3,266.40x = 5,268,561.39
  5. Step 5: Solve for x
    x = 5,268,561.39/3,266.40
  6. Step 6: Final answer
    x = 1,612.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.