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Finding the Fourth Proportional to 3,075.84, 4,612.70 and 1,201.29

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Solution

The fourth proportional to 3,075.84, 4,612.70 and 1,201.29 is: 1,801.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,075.84 : 4,612.70 = 1,201.29 : x
  2. Step 2: Convert to fraction form
    3,075.84/4,612.70 = 1,201.29/x
  3. Step 3: Cross multiply
    3,075.84x = 4,612.70 × 1,201.29
  4. Step 4: Simplify right side
    3,075.84x = 5,541,184.38
  5. Step 5: Solve for x
    x = 5,541,184.38/3,075.84
  6. Step 6: Final answer
    x = 1,801.52

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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.