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Finding the Fourth Proportional to 2,052.18, 3,078.41 and 735.80

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Solution

The fourth proportional to 2,052.18, 3,078.41 and 735.80 is: 1,103.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.18 : 3,078.41 = 735.80 : x
  2. Step 2: Convert to fraction form
    2,052.18/3,078.41 = 735.80/x
  3. Step 3: Cross multiply
    2,052.18x = 3,078.41 × 735.80
  4. Step 4: Simplify right side
    2,052.18x = 2,265,075.01
  5. Step 5: Solve for x
    x = 2,265,075.01/2,052.18
  6. Step 6: Final answer
    x = 1,103.74

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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.