Home / 2,652.02-3,977.76-704.42

Finding the Fourth Proportional to 2,652.02, 3,977.76 and 704.42

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Solution

The fourth proportional to 2,652.02, 3,977.76 and 704.42 is: 1,056.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.02 : 3,977.76 = 704.42 : x
  2. Step 2: Convert to fraction form
    2,652.02/3,977.76 = 704.42/x
  3. Step 3: Cross multiply
    2,652.02x = 3,977.76 × 704.42
  4. Step 4: Simplify right side
    2,652.02x = 2,802,013.70
  5. Step 5: Solve for x
    x = 2,802,013.70/2,652.02
  6. Step 6: Final answer
    x = 1,056.56

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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.