Home / 2,052.14-3,077.60-735.68

Finding the Fourth Proportional to 2,052.14, 3,077.60 and 735.68

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Solution

The fourth proportional to 2,052.14, 3,077.60 and 735.68 is: 1,103.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.14 : 3,077.60 = 735.68 : x
  2. Step 2: Convert to fraction form
    2,052.14/3,077.60 = 735.68/x
  3. Step 3: Cross multiply
    2,052.14x = 3,077.60 × 735.68
  4. Step 4: Simplify right side
    2,052.14x = 2,264,132.78
  5. Step 5: Solve for x
    x = 2,264,132.78/2,052.14
  6. Step 6: Final answer
    x = 1,103.31

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Why These Related Problems?

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