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Finding the Fourth Proportional to 2,052.12, 3,075.85 and 735.27

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Solution

The fourth proportional to 2,052.12, 3,075.85 and 735.27 is: 1,102.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.12 : 3,075.85 = 735.27 : x
  2. Step 2: Convert to fraction form
    2,052.12/3,075.85 = 735.27/x
  3. Step 3: Cross multiply
    2,052.12x = 3,075.85 × 735.27
  4. Step 4: Simplify right side
    2,052.12x = 2,261,580.23
  5. Step 5: Solve for x
    x = 2,261,580.23/2,052.12
  6. Step 6: Final answer
    x = 1,102.07

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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.